1. [-/1 Points] DETAILS WANEFMAC5 13.2.003. 0/50 Submissions Used MY NOTES ASK YOUR TEACHER Evaluate the given integral using the substitution (or method) indicated. (3x - 5)3 dx; shortcut page 970 + C Need Help? Practice It Submit Answer 2. [-/1 Points] DETAILS WANEFMAC5 13.2.008. 0/50 Submissions Used MY NOTES ASK YOUR TEACHER Evaluate the given integral using the substitution (or method) indicated. 3ex/6 dx; shortcut page 970 . C Need Help? Practice It 3. [-/1 Points] DETAILS WANEFMAC5 13.2.009. 0/50 Submissions Used MY NOTES ASK YOUR TEACHER Evaluate the given integral using the substitution (or method) indicated. ( * + 4 ) e ( x + 4 ) 2 dx ; U = ( x + 4 ) 2 . C Need Help? Practice It4. [-/1 Points] DETAILS WANEFMAC5 13.2.016. 0/50 Submissions Used MY NOTES ASK YOUR TEACHER Decide on what substitution to use, and then evaluate the given integral using a substitution. HINT [See Example 1.] 9.4e ( - 6x + 9 ) dx FC Need Help? Practice It 5. [-/1 Points] DETAILS WANEFMAC5 13.2.018. 0/50 Submissions Used MY NOTES ASK YOUR TEACHER Decide on what substitution to use, and then evaluate the given integral using a substitution. HINT [See Example 1.] 9.6 V - 4x + 5 dx + C Need Help? Practice It 6. [-/1 Points] DETAILS WANEFMAC5 13.2.022. 0/50 Submissions Used MY NOTES ASK YOUR TEACHER Decide on what substitution to use, and then evaluate the given integral using a substitution. HINT [See Example 1.] (Round your decimal coefficients to four decimal places.) X (3x2 - 5)0.4 dx + C Need Help? Practice It7. [-/1 Points] DETAILS WANEFMAC5 13.2.029. 0/50 Submissions Used MY NOTES ASK YOUR TEACHER Decide on what substitution to use, and then evaluate the given integral using a substitution. HINT [See Examples 1 and 5.] 7 ( x + 8 ) e - ( x 2 + 16* ) dx + C Need Help? Practice It 8. [-/1 Points] DETAILS WANEFMAC5 13.2.039. 0/50 Submissions Used MY NOTES ASK YOUR TEACHER Decide on what substitution to use, and then evaluate the given integral using a substitution. HINT [See Examples 1 and 7.] (Remember to use absolute values where appropriate.) e-0.05x - dx 1 - e-0.05x + C Need Help? Watch It Practice It 9. [-/1 Points] DETAILS WANEFMAC5 13.2.062. 0/50 Submissions Used MY NOTES ASK YOUR TEACHER Use the shortcut formulas to calculate the given integral. (Round your decimal coefficients to four decimal places.) 2 7. 1x dx + C Need Help? Practice It10. [-/1 Points] DETAILS WANEFMAC5 13.2.057. 0/50 Submissions Used MY NOTES ASK YOUR TEACHER Use the shortcut formulas to calculate the given integral. ( 3 x + 6 ) 5 dx + C Need Help? Practice It 11. [-/2 Points] DETAILS WANEFMAC5 13.2.080. 0/50 Submissions Used MY NOTES ASK YOUR TEACHER The number of research articles in a prominent journal written by researchers can be approximated by U(t) = - 4.1e0.4t 0.1 + 0.4 thousand articles per year (t 2 0) where t is time in years (t = 0 represents 1983). (a) Find an (approximate) expression for the total number of articles (in thousands) written since 1983 (t = 0). HINT [See Example 7.] (Round your coefficients to two decimal places.) N (t ) = (b) Roughly how many articles were written from 1983 to 2003? (Round your answer to the nearest whole number.) thousand articles Need Help? Practice It