Question

How do you do this question?

Answer 1

Explanation:

F(x) = ∫ₓᵃ sin(2t) dt

Use the identity:

-F(x) = ∫ₐˣ sin(2t) dt

Take derivative using fundamental theorem of calculus.

-F'(x) = sin(2x)

F'(x) = -sin(2x)