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))