Note: You can get full credit for this problem by just entering the answer to th

Question

Note: You can get full credit for this problem by just entering the answer to the last question correctly. The initial questions are meant as hints towards the final answer and also allow you the opportunity to get partial credit. Consider the indefinite integral cos10(7t)sin(7t)dt Then the most appropriate substitution to simplify this integral is U = Then du = f(t)dt where f(t) = After making the substitution we obtain the integral g(u)du where) du where This last integral is: = +C (Leave out constant of integration from your answer.) After substituting back for u we obtain the following final form of the answer +c (Leave out constant of integration from your answer.)

Explanation / Answer

u = cos 7 t

du = - 7 sin 7t dt

f(t) = -7 sin 7t

g(u) = - u^10 / 7

Integral = - u^11 /77

FInal form = - cos (7t)^11/77

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