Find F ′(x) for F of x equals the integral from 1 to x of the square root of the quantity t cubed plus 1, dt.

Question

Find F ′(x) for .

  A.  B. C.  D.None of these

Answer 1

This is the fundamental theorem of integral calculus.

If F(x) = integral of f(t) dt, then under very general condition F'(x) = f(x).