Integral Problem: Help Me Integrate

[rishiraj20006]

Homework Statement

help me integrate

Homework Equations

e^{xsinx+cosx}[x^4(cosx)^3-xsinx+cosx/x^2.(cosx)^2]dx

The Attempt at a Solution

it s to lengthy and i have still not find the form that is e^x[f(x)+f`(x)]

 

[VietDao29]

Homework Statement

help me integrate

Homework Equations

e^{xsinx+cosx}[x^4(cosx)^3-xsinx+cosx/x^2.(cosx)^2]dx

The Attempt at a Solution

it s to lengthy and i have still not find the form that is e^x[f(x)+f`(x)]

The problem you posted is not very clear to me. Are you trying to integrate:
$$\int e ^ {x \sin x + \cos x} \left( \frac{x ^ 4 \cos ^ 3 x - x \sin x + \cos x}{x ^ 2 \cos ^ 2 x} \right) dx$$?
You seems to be missing a dew parentheses.
Is that the problem?

 

[Gib Z]

Perhaps the fact that you want it in the form of $e^x [f(x)+f'(x)]$ hints you want to make a substitution u= x sin x + cos x?