Question

I.F. of $\frac{dy}{dx}$ $+$ $ytanx$$=x^{2}co{s}^{2}x$ is:

• A. $secx$
• B. $cosx$
• C. $se{c}^{2}x$
• D. $co{s}^{2}x$

Answer 1

The correct option is A $secx$

$I.F=e^{\int P\left(x\right)dx}=e^{\int \tan xdx}=e^{log\sec x}=\sec x$