This is Section $4\mathrm{.}5$ Problem $66$:

Evaluate the definite integral

$10$

$1$

$5$x$1$

$$dx$2$

$$

by the following:

$($a$)$ Determine the indefinite integral

$1$

$5$x$1$

$$dx

$$

by substitution. $($It is recommended that you check your results by differentiation.$)$ Use capital C for the free constant.

Answer: $.$

$($b$)$ The exact value of the definite integral is $.$

Hint: Follow Example $9.$