FTC and Definite Integrals

AP Calculus AB· difficulty 3/5

t a x

If F(x)=axf(t)dtF(x) = \int_a^x f(t)\,dt, then F(x)F'(x) equals:

  • A

    f(x)f(x)

    check_circle
  • B

    f(x)dx\int f(x)\,dx

  • C

    f(x)f'(x)

  • D

    F(x)F(x)

Explanation

By the Fundamental Theorem of Calculus, F(x)=f(x)F'(x) = f(x).

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