Question

I.F. of $\frac{dy}{dx}=$ $y\tan x+2\sin x$ is:

• A. $\sec x$
• B. $\sin x$
• C. $\csc x$
• D. $\cos x$

Answer 1

The correct option is D $\cos x$

$\frac{dy}{dx}-y^{\tan x}=2\sin x$
$I.F=e{}^{\int P\left(x\right)dx}$
$=e^{-\int \tan dx}=e^{-log\sec x}=e^{log\cos x}\begin{array}{c}=\cos x\end{array}$