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dy 7. (12 pares) Given: = dx a) Find the general solution to the differential equations 3 + C 33. (10Find the exact value of
dy 7. (12 pares) Given: = dx a) Find the general solution to the differential equations 3 + C 33. (10Find the exact value of are length of the semicubical parabola y? = x between the points (1) I) (4)8) Region: points ( 1, 1) and (4, 1 )_ Sa = 7 1b = 3 24 7 Arc length = 4+ 9x r 17 4+ gx one Let u= 4+gx - du= ydx 2 3/2 3/2 3/ 2 1 2 (4+9x ) du10 points each) For problem numbers 7 and 8, Determine whether these improper integrals converge or diverge. If possible, determine the value of the integral that converges in exact value. 7. 0 x In(4x ) dx x lim x In (4x ) dx 2 x LetJ u = In (4x) - du = 4de= 1dx 2 2 4x X Idv= x dx - V =
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