Question

How do you use the Fundamental Theorem of Calculus to find the derivative of `int e^(4t²-t) dt` from 3 to x?

Answer 1

By FTC

`d/(dx) int_a^x \ f(t) \ dt = f(x)`

So

`d/dx int_3^x e^(4t²-t) dt`

`=e^(4x²-x)`