u-substitution

Question

When integrating  ∫e^sinxcosdx, a good choice to use for your u-substitution would be which of the following:

 

a) u=cosx
b) u=sinx

c) u=e^sinx

 

Answer 1

Let u = sinx then du = cosxdx

 

Substitute into the integral:  ∫ e^udu = e^u + C = e^sinx + C