Evaluate the following integral using integration by parts.

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}5se{c}^{2}d$

Use the integration by parts formula so that the new integral is simpler than the original one. Choose the correct answer below.

A$.tan-{\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}(cos)$

$8.5tan-{\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}(5tan)d$

c$.5cos{\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}(5sec0)$

D$.5sec-{\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}(50tan)$

Evaluate the integral.

${\displaystyle \underset{\phantom{}}{\overset{\phantom{}}{}}}50se{c}^{2}d=50tan-$

$($Use parentheses to clearly denote the argument of each function$)$

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