$\smallint \,\,\frac{{\cos \,\,x\,\, + \,\,x\,\,\sin \,\,x}}{{x\,\,\left( {x\,\, + \,\,\cos \,\,x} \right)}}\,\,dx$ is equal to

$\log \,\,\left( {x\,\,\left( {x\,\, + \,\,\cos \,\,x} \right)} \right) + C$

$\log \,\,\left( {\frac{{x + \,\,\cos \,\,x}}{x}} \right)$

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Medium

1 of 1

Understanding +4 | -1

\int \,\,\frac{{\cos \,\,x\,\, + \,\,x\,\,\sin \,\,x}}{{x\,\,\left( {x\,\, + \,\,\cos \,\,x} \right)}}\,\,dx

is equal to

View answer and explanation

Correct option: B

\log \,\,\left( {\frac{x}{{x\,\, + \,\,\cos \,\,x}}} \right) + C

Option B (

\log \,\,\left( {\frac{x}{{x\,\, + \,\,\cos \,\,x}}} \right) + C

) is correct because the integral can be simplified and solved using basic integration rules.