### Home > APCALC > Chapter 11 > Lesson 11.1.2 > Problem11-25

11-25.

Multiple Choice: $\frac { d } { d x } \int _ { 2 x } ^ { x ^ { 2 } } ( m ^ { 2 } - 4 m ) d m$ =

1. $\frac { 1 } { 3 }x^6 − 2x^4$

1. $\frac { 1 } { 3 }x^6 − 2x^4 + C$

1. $x^2 − 4x$

1. $2x^3 − 9x^2 + 4x$

1. $2x^5 − 8x^3 − 8x^2 + 16x$

Using the Fundamental Theorem and Calculus and the Chain Rule:

$\frac{d}{dx}\int_{g(x)}^{h(x)}f(m)dm=f(h(x))\cdot h^\prime(x)-f(g(x))\cdot g^\prime(x)$