Question

Find the integral of...

Answer 1

Use the fundamental theorem of calculus part 1.
Are you familiar with that?

Answer 2

I'm sure we went over it, yes.

Answer 3

Well, do you remember the conditions that must be met for the FToC part 1 to hold?

1. lower limit must be a constant and upper must be an "x"
Therefore, to find the derivative, you simply plug in the upper bound for "t". It's like saying \[f(x^2+\tan(x^2))\]. But since you don't have an x, you have to take the derivative of the upper bound and multiply it by the function.
So plug in for "t" and then multiply by the derivative of the upper bound.