need help to solve this integral?

Question

can someone plz give me a step by step instructions to solve this probmlem. I need it urgently. thanks in advance

find the integral of (x^3)(cos(x^4))(e^(sinx^4)) dx

Answer 1

integrate (x^3)(cos(x^4))(e^(sin(x^4))
That looks pretty nasty at first, lemme give it a shot.
1. Gotta use U-substitution. Pick something convenient.

U = sin(x^4), du = (4x^3)(cos(x^4))dx
so (1/4)du = (x^3)(cos(x^4))dx

2. Substitue everything in.
integrate: (1/4)(e^u)du

3. Integrate, since it's a lot simpler now.
the integral will be (1/4)(e^u) + C

4. Substitue back in and get the answer
answer: (1/4)(e^(sin(x^4))) + C