Calculus Integral Help

[jamonathin]

Hey all, finals are here and i cant figure out how to do this problem:

Quote:

Let g(x) = x²∫x³ sint²

Evaluate g'(pi) to four deimal places

where x² is at the bottom right of the ∫ and x³ is at the top right.

My idea of that to do is:

Quote:

g'(x) = sin(x³)² · (x³)' - sin(x²)² · (x²)'

then sub in: x = pi

Which is kind of from the "Fundamental Theorom of Calculus" (FTOC) and Chain Rule, but cant find anywhere to verify this.



EDIT: Martin solved it

(1/2)(x³ - cos(x³)sin(x³)) - x² + cos(x²)(sin(x²))

[Brightguy]

Wait, is that the solution for g'(x)? I get , which doesn't match. Yeah, this is a FTC question.

[Cervantes]

I'd have to agree with Brightguy on this one.