How can i slow this integral?

Question

The lower bound is 2, and the upper is x^3+1, and the function is t*e^(3t+1)

I have the primitive function, but i can't slove it with x^3+1 upper value.

Answer 1

If you integrate normally (integration by parts) the result would be a function of variable x. The answer should be something like this

 

∫^x3+1te^3t+1dt= [(3x³+1)/9]*e^{3x^3+4}-(5/7)e⁷.

 

 

₂