JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

For what value of

a

and

b

, the equation

\int \frac{d x}{1+\sin x}=\tan \left(\frac{x}{2}+a\right)+b \text { holds good.}

View answer and explanation

Correct option: C

a=-\frac{\pi}{4}, b

is any arbitrary constant

Option C (

a=-\frac{\pi}{4}, b

is any arbitrary constant) is correct because the integral of

\frac{dx}{1+\sin x}

simplifies to

\tan(\frac{x}{2} - \frac{\pi}{4}) + c

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