Which of the following integrals can be best evaluated using integration by parts?

Question

A. ∫ #xsin(x^2)#dx
B. ∫ #x^2sin(x)# dx
C. ∫ #sin^2(x)# dx

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Answer 1 · 2017-06-14T04:39:21

#∫ x^2sin(x)# dx

#∫ x^2sin(x)# dx can only be done using integration by parts. It is a product of 2 distinct functions and a u-sub does not simplify the integral.