Find the indefinite integral.

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}[r+\frac{?}{(r+5{)}^7}]dr$

Evaluate the definite integral ${\displaystyle \underset{0}{\overset{}{}}}2si{n}^{7}tcostdt$

$a.7,6\mathrm{.}2$

$C.8$

$d.3$

$e.o$

Find the indefinite integral.

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}{x}^{5}lnxdx$

Find the indefinite integral

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}si{n}^{3}3xco{s}^{4}3xdx$