JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Analyzing +4 | -1

Let

g(x)

be a differentiable function satisfying

\frac{d}{d x}\{g(x)\}=g(x)

and

g(0)=1

, then

\int g(x)\left(\frac{2-\sin 2 x}{1-\cos 2 x}\right) d x

is equal to

View answer and explanation

Correct option: B

-g(x) \cot x+C

The correct answer is B (

-g(x) \cot x+C

) because given the properties of

g(x)

, the integral simplifies and can be solved using integration techniques.

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