Question

How do you use the second fundamental theorem of Calculus to find the derivative of given `int (t^2+1)^20 dt` from `[1,x]`?

Answer 1

`= (x^2+1)^20`

Explanation:

By the Second Fundamental Theorem of Calculus:

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

so:`d/dx int_0^x (t^2+1)^20 dt`

`= (x^2+1)^20`