Question

Need help .....question attached

Answer 1

Put xsinx +cosx=t
xcosx dx =dt
Eq becomes
\[\int\limits_{ }^{}e^t (\frac{x^4\cos^3x-x \sin x+cosx}{x^3 \cos^3x})dt\]

Answer 2

ans. 3, http://www.wolframalpha.com/input/?i=%E2%88%ABe%5E%28xsinx%2Bcosx%29%28%28x%5E4cos%5E3x+-+%28xsinx%29%2B%28cosx%29%29%2F%28x%5E2cos%5E2x%29