2. [-/1 Points] DETAILS MY NOTES LARCALC12 5.2.005. ASK YOUR TEACHER PRACTICE ANOTHER Find the indefinite integral. (Remember to use absolute values where appropriate. Remember the constant of integration.) 14 dx Need Help? Read It Watch It Submit Answer 3. [-/1 Points] DETAILS MY NOTES LARCALC12 5.2.009. ASK YOUR TEACHER PRACTICE ANOTHER Find the indefinite integral. (Remember to use absolute values where appropriate. Remember the constant of integration.) * dx Need Help? Read It Submit Answer 4. [-/1 Points] DETAILS MY NOTES LARCALC12 5.2.013. ASK YOUR TEACHER PRACTICE ANOTHER Find the indefinite integral. (Remember to use absolute values where appropriate. Remember the constant of integration.) x2 - 2 dx 2x Need Help? Read It Watch It Submit Answer 5. [-/1 Points] DETAILS MY NOTES LARCALC12 5.2.017. ASK YOUR TEACHER PRACTICE ANOTHER Find the indefinite integral. (Remember to use absolute values where appropriate. Remember the constant of integration.) x2 - 4x + 3 dx x+1 Need Help? Read It Submit Answer 6. [-/1 Points] DETAILS MY NOTES LARCALC12 5.2.021. ASK YOUR TEACHER PRACTICE ANOTHER Find the indefinite integral. (Remember the constant of integration.) x# + x - 36 dx x2 + 6 Need Help? Read It Submit Answer 7. [-/1 Points] DETAILS MY NOTES LARCALC12 5.2.025. ASK YOUR TEACHER PRACTIC7. [-/1 Points] DETAILS MY NOTES LARCALC12 5.2.025. ASK YOUR TEACHER PRACTICE ANOTHER Find the indefinite integral. (Remember to use absolute values where appropriate. Remember the constant of integration.) fv';[l - svx) & [ ] Need Help? [ Submit Answer | 8. [-/1 Points] DETAILS MY NOTES LARCALC125.2.037. ASK YOUR TEACHER PRACTICE ANOTHER Find the indefinite integral. (Remember the constant of integration.) f{g cos(38)) df [ ] Need Help? [ Submit Answer 9. [-/1 Points] DETAILS MY NOTES LARCALC125.2.053. ASK YOUR TEACHER PRACTICE ANOTHER Evaluate the definite integral. Use a graphing utility to verify your result. fg (3 + G 4 & X Need Help? Submit Answer 10. [-/1 Points] DETAILS MY NOTES LARCALC125.2.057. ASK YOUR TEACHER PRACTICE ANOTHER Evaluate the definite integral. Use a graphing utility to verify your result. (Round your answer to three decimal places.) 41 - cos(8) [ 5 68 sin(8) Need Help? ( Submit Answer i 11. [-/1 Points] DETAILS MY NOTES LARCALC12 5.2.061. ASK YOUR TEACHER PRACTICE ANOTHER Find F*(x). Flx) = | B Fiix) = Need Help? 12. [-/1 Points] DETAILS MY NOTES LARCALC125.2.007. ASK YOUR TEACHER PRACTICE ANOTHER . ] Find the indefinite integral. (Remember to use absclute values where appropriate. Remember the constant of integration,) 12. [-/1 Points] DETAILS MY NOTES LARCALC12 5.2.007. ASK YOUR TEACHER PRACTICE ANOTHER Find the indefinite integral. (Remember to use absolute values where appropriate. Remember the constant of integration.) 1 5 x + 4 - dx Need Help? Read It Submit Answer 13. [-/1 Points] DETAILS MY NOTES LARCALC12 5.2.011.MI. ASK YOUR TEACHER PRACTICE ANOTHER Find the indefinite integral. (Remember to use absolute values where appropriate. Remember the constant of integration.) [9x + 8 dx x9 + 8x Need Help? Read It Watch It Master It Submit Answer 14. [-/1 Points] DETAILS MY NOTES LARCALC12 5.2.015.MI. ASK YOUR TEACHER PRACTICE ANOTHER Find the indefinite integral. (Remember to use absolute values where appropriate. Remember the constant of integration.) x2 + 10x + 4 x3 + 15x2 + 12x + 5 - dx Need Help? Read It Master It Submit Answer 15. [-/1 Points] DETAILS MY NOTES LARCALC12 5.2.019. ASK YOUR TEACHER PRACTICE ANOTHER Find the indefinite integral. (Remember to use absolute values where appropriate. Remember the constant of integration.) x3 - 3x2 + 4 dx x - 3 Need Help? Read It Submit Answer 16. [-/1 Points] DETAILS MY NOTES LARCALC12 5.2.023. ASK YOUR TEACHER PRACTICE ANOTHER Find the indefinite integral. (Remember the constant of integration.) (In(x)) dx Need Help? Read it Submit Answer 17. [-/1 Points] DETAILS MY NOTES LARCALC12 5.2.027. ASK YOUR TEACHER PRACTICE ANOTHER17. [-/1 Points] DETAILS MY NOTES LARCALC125.2.027. ASK YOUR TEACHER PRACTICE ANOTHER Find the indefinite integral. (Remember to use absolute values where appropriate. Remember the constant of integration.) f L dx (x-8)2 Need Help? Submit Answer 18. [-/1 Points] DETAILS MY NOTES LARCALC125.2.033.MI. ASK YOUR TEACHER PRACTICE ANOTHER Find the indefinite integral. {(Remember to use absolute values where appropriate. Remember the constant of integration.) a f cot(_) dd 92 Need Help? I: Submit Answar ] 19. [-/1 Points] DETAILS MY NOTES LARCALC125.2.035. [ ASK YOUR TEACHER ][ PRACTICE ANOTHER l Find the indefinite integral. (Remember to use absolute values where appropriate. Remember the constant of integration.) f csc5x) dx Need Help? [ Submit Answar ] 20. [-/1 Points] DETAILS MY NO LARCALC125.2.039. [ ASK YOUR TEACHER H PRACTICE ANOTHER l Find the indefinite integral. (Remember to use absolute values where appropriate. Remember the constant of integration. ) f cos(t) at 1 + sin(t) Need Help? [ Submit Answer ] 21. [-/1 Points] DETAILS MY NO LARCALC125.2.041. ASK YOUR TEACHER PRACTICE ANOTHER Find the indefinite integral. (Remember to use absolute values where appropriate. Remember the constant of integration. ) sec(x) tan(x) sec(x) 4 Need Help? [ [ Submit Answer 22. [-/1 Points] DETAILS MY NOTES LARCALC125.2.047. ASK YOUR TEACHER | PRACTICE ANBTHER | 22. [-/1 Points] DETAILS MY NOTES LARCALC12 5.2.047. ASK YOUR TEACHER PRACTICE ANOTHER Find the particular solution of the differential equation that satisfies the initial equations. F"(x) = -, f'(1) = 1, f(1) = 1, x> 0 f( x ) = Need Help? Read it Submit Answer 23. [-/1 Points] DETAILS MY NOTES LARCALC12 5.2.051. ASK YOUR TEACHER PRACTICE ANOTHER Evaluate the definite integral. Use a graphing utility to verify your result. (Round your answer to three decimal places.) 7 - dx 9x + 1 Need Help? Read It Watch It Submit Answer 24. [-/1 Points] DETAILS MY NOTES LARCALC12 5.2.055. ASK YOUR TEACHER PRACTICE ANOTHER Evaluate the definite integral. Use a graphing utility to verify your result. (Round your answer to three decimal places.) (3 x2 - 2 dx * + 1 Need Help? Read It (Submit Answer 25. [-/1 Points] DETAILS MY NOTES LARCALC12 5.2.063. ASK YOUR TEACHER PRACTICE ANOTHER Find F'(x). F ( x ) = 9x cot (t ) dt F' ( X ) = Need Help? Read It Submit Answer26. [-/1 Points] DETAILS MY NOTES LARCALC12 5.2.065. ASK YOUR TEACHER PRACTICE ANOTHER Find the area of the given region. Use a graphing utility to verify your result. (Round your answer to three decimal places.) N =6-5 -13-2-1 -1 1 2 3 4 5 -2 3/ Need Help? Read It Submit Answer 27. [-/1 Points] DETAILS MY NOTES LARCALC12 5.2.067. ASK YOUR TEACHER PRACTICE ANOTHER Find the area of the given region. Use a graphing utility to verify your result. (Round your answer to three decimal places.) y = csc(x + 1) 3.0/ 2.5 2.0 1.5 1.0 0.5 -1.0 -0.5 0.5 1.0 1.5 2.0 Need Help? Read It Submit Answer 28. [-/1 Points] DETAILS MY NOTES LARCALC12 5.2.069. ASK YOUR TEACHER PRACTICE ANOTHER Find the area of the region bounded by the graphs of the equations. Use a graphing utility to verify your result. (Round your answer to three decimal places.) y = *2 + 9 x 2, x = 1, x = 6, y = 0 Need Help? Read it Submit Answer 29. [-/1 Points] DETAILS MY NOTES LARCALC12 5.2.071.MI. ASK YOUR TEACHER PRACTICE ANOTHER29. [-/1 Points] DETAILS MY NOTES LARCALC12 5.2.071.MI. ASK YOUR TEACHER PRACTICE ANOTHER Find the area of the region bounded by the graphs of the equations. Use a graphing utility to verify your result. (Round your answer to three decimal places.) y = 3 sec _LX) , X = 0, x = 2, y = 0 Need Help? Read It Watch It Master It Submit Answer ] 30. [-/1 Points] DETAILS MY NOTES LARCALC12 5.2.073. ASK YOUR TEACHER PRACTICE ANOTHER Find the average value of the function over the given interval. f( x ) = [4, 8] Need Help? Read It Submit Answer 31. [-/1 Points] DETAILS MY NOTES LARCALC12 5.2.075. ASK YOUR TEACHER PRACTICE ANOTHER Find the average value of the function over the given interval. (Round your answer to three decimal places.) f(x) = 20 In(x) -, [1, e] X Need Help? Read It Submit Answer 32. [-/2 Points] DETAILS MY NOTES LARCALC12 5.2.097. ASK YOUR TEACHER PRACTICE ANOTHER Determine whether the statement is true or false. In( 1x41) = In(x4 ) True O False If it is false, explain why. O It is true. O In( 1x4 1 ) # In(x # ) for x > 0 O In( 1 x 4 1 ) # In( x4 ) for x o f"() dn = J sax f (m) = - 8+g f(x) = = > f ( x ) = - 8 + ( = > f'n ) du= [- + 2 ]dx Need Help? Read It given f' ( 1 ) = 1 = > f() = - 8 Inlul + gu + c, = ) 1 = - 8 + C given f(1 ) = 1 Submit Answer = ) C = g = > 1 = - 8 lull1 + 91 1)+ c, = ) C1 = - 8 23. [-/1 Points] DETAILS MY NOTES LARCALC12 5.2.051. .: f ( x ) = ( - 8 lu/x/+ 2x- 8 ASK YOUR TEACHER PRACTICE ANOTHER Evaluate the definite integral. Use a graphing utility to verify your result. (Round your answer to three decimal places.) 7 - dx tane , gu +1 = P 37 9x + 1 JP 9 = Jp 2dn = dp P du = dp 37 Need Help? Read It Watch It : lower limit I upper limit 37 Submit Answer = = ( In 37 - 1 n1] 7 In 37 24. [-/1 Points] DETAILS MY NOTES LARCALC12 5.2.055. - 2. 80824. [-/1 Points] DETAILS MY NOTES LARCALC12 5.2.055. ASK YOUR TEACHER PRACTICE ANOTHER Evaluate the definite integral. Use a graphing utility to verify your result. (Round your answer to three decimal places.) 3 x2 - 2 dx 1 - 1 - 1 x + 1 du th 1+ V Need Help? = " - 1 ) CHAD) Read It (Submit Answer 25. [-/1 Points] DETAILS MY NOTES LARCALC12 5.2.063. - 2 - 3 - In 4 ASK YOUR TEACHER PRACTICE ANOTHER = 1.5 - 2dn 2 = 0. 807 Find F'(x). Sint = P F ( x ) = cot(t) dt Sint dt cost at = dp F'(x ) = lower limit Sin 1 = upper limit singa P Need Help? Read It sinl singa Submit Answer Using = Pulsingal - lulsin1l . : F ( m ) = y coson = gcot (92) singe26. [-/1 Points] DETAILS MY NOTES LARCALC12 5.2.065. ASK YOUR TEACHER PRACTICE ANOTHER Find the area of the given region. Use a graphing utility to verify your result. (Round your answer to three decimal places.) Area : ly du = 1 * dx 1 2 30 5 6 = 2 [ en 121 7 9 = 2 In 4 - ful] = 2 [in 4-07 = 2 dn 2 2 Need Help? Read it = 412 = 2. 773 Submit Answer 27. [-/1 Points] DETAILS MY NOTES LARCALC12 5.2.067. ASK YOUR TEACHER PRACTICE ANOTHER Find the area of the given region. Use a graphing utility to verify your result. (Round your answer to three decimal places.) y = csc(x + 1) 3.0/ Aven = / CSC ( 2 + 1 ) dn 2.5 2.0 csc ( 2+)- cotim+1 ) (sc ( n +1) - co+ (m + 1 ) 1.5 tune , coser ( 1 + ) cat ( + 1 ) = P [ - csc ( mi) cat(un ) + (sc ( *+) du = ap 1.0 = 0.5 P de = [ inlpl ] = [ Inlese (ut ) - cot ( mad) / / ' -1.0 -0.5 O 0.5 1.0 1.5 2.0 = Inloscz - cot 2/ - In/esc1-ctl/ Need Help? Read It O . 6 9 328. [-/1 Points] DETAILS MY NOTES LARCALC12 5.2.069. ASK YOUR TEACHER PRACTICE ANOTHER Find the area of the region bounded by the graphs of the equations. Use a graphing utility to verify your result. (Round your answer to three decimal places.) y = x +9, x = 1, x = 6, y = 0 n Need Help? Read it Submit Answer = 2 + 161- 4 - 2Julil = 18 + 7dull) - 4 -0 = 33. 626 29. [-/1 Points] DETAILS MY NUIES LARCALL IC . . ..II. ASK YOUR TEACHER PRACTICE ANOTHER Find the area of the region bounded by the graphs of the equations. Use a graphing utility to verify your result. (Round your answer to three decimal places.) 3 sec ( Time ) . due y = 3 sec - , x = 0, x = 2, y = 0 = 3x6 I see my ( secTy - toTry ) du Need Help? Read it Watch It Master It P Submit Answer P = 18 In ( section . tan Thy ) ] 2 30. [-/1 Points] DETAILS MY NOTES LARCALC12 5.2.073. ASK YOUR TEACHER PRACTICE ANOTHER = 1 in (ec n - thing - In ( seco-two ) / Find the average value of the function over the given interval. = 7.54630. [-/1 Points] DETAILS MY NOTES LARCALC12 5.2.073. ASK YOUR TEACHER PRACTICE ANOTHER Find the average value of the function over the given interval. A(x) = 2' [4, 8] AV = 8 - 32 8 Need Help? Read it Submit Answer = 1 31. [-/1 Points] DETAILS MY NOTES LARCALC12 5.2.075. ASK YOUR TEACHER PRACTICE ANOTHER Find the average value of the function over the given interval. (Round your answer to three decimal places.) f(x) = 20 In(x) [1, e] X e. 1 Need Help? Read it 20 ( line ) _ ( In! ) ] Submit Answer 20 32. [-/2 Points] DETAILS MY NOTES LARCALC12 5.2.097. = 10 ASK YOUR TEACHER PRACTICE ANOTHER = 5.820 Determine whether the statement is true or false. In( 1x41) = In(x4 ) True since 1 is a tre value O False In and a" are same If it is false, explain why. O It is true. O In( 1x41 ) # In( x# ) for x > 0 O In( 1x41) # In( x# ) for x