### Home > CALC > Chapter 4 > Lesson 4.2.2 > Problem4-56

4-56.

Ji Hee is trying to find the area $\int _ { - 1 } ^ { 5 } g ( m ) d m$. She already knows that:

$\int _ { 0 } ^ { x } g ( m ) d m = \frac { 4 x + 1 } { x + 2 }$.

Help her find:

1. $2 \int _ { 0 } ^ { 3 } g ( m ) d m$

Solve for the area by substituting every $x$-value in the given equation with $3$. Simplify.

1. $\int _ { - 1 } ^ { 0 } g ( m ) d m$

See part (a).

1. $\int _ { - 1 } ^ { 5 } g ( m ) d m$

See parts (a) and (b).