( _e.x)dx is equal to: - Vidyadip

MCQ

$\int\cos(\log_\text{e}.\text{x})\text{dx}$ is equal to:

A
$\frac{1}{2}\text{x}[\cos(\log_\text{e}\text{x})+\sin(\log_\text{e}\text{x})]$
✓
$\text{x}[\cos(\log_\text{e}\text{x})+\sin(\log_\text{e}\text{x})]$
C
$\frac{1}{2}\text{x}[\cos(\log_\text{e}\text{x})-\sin(\log_\text{e}\text{x})]$
D
$\text{x}[\cos(\log_\text{e}\text{x})-\sin(\log_\text{e}\text{x})]$

✓

Answer

Correct option: B.

$\text{x}[\cos(\log_\text{e}\text{x})+\sin(\log_\text{e}\text{x})]$

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