How do you calculate the derivative of #int3(sin(t))^4 dt# from #[e^x,1]#?
1 Answer
Jun 12, 2015
Use the Fundamental Theorem of Calculus, Part 1 (after rewriting) and use the chain rule.
Explanation:
g(x) =
To use the fundamental theorem in one form, we must have the constant as the lower limit of integration, so we rewrite:
g(x) =
With
Use the chain rule to find
By FTC 1,
We also have
So,