Net Area. Consider the function defined by the integral

Question

 a) Calculate  using properties of integrals

b) Provide graphs showing the regions corresponding to and

c) Use FTC1 to calculate the derivative of F. Simplify your answer.

Answer 1

This is a strange problem.

The answer to part a is obviously 0 since the upper and lower limits of integration are the same.

The antiderivative is (1/2) ln²t.

I will leave the rest of the problem to you.