Problem $4.$

$(1$ point$)$

Substitution in the Definite Integral

Suppose we want to evaluate the definite integral, ${\displaystyle \underset{1}{\overset{4}{}}}\frac{-5}{(x+8{)}^2}dx$ using the substitution, $u=x+8$

Part $1.$

Re$-$write the definite integral in terms of the variable $u$ and remember to use the limits of integration for the function $u=f(x).$ Then, input the antiderivative of the integrand and the limits of integration you found.

$={\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}$

$$

$=[]$

Part $2.$

Finally, evaluate the original integral by evaluating the antiderivative using limits of integration from Part $1.$ above.

${\displaystyle \underset{1}{\overset{4}{}}}\frac{-5}{(x+8{)}^2}dx=$

$$