JEE Math Practice Question
The value of integral $$\int_{{\pi \over 4}}^{{{3\pi } \over 4}} {{x \over {1 + \sin x}}dx} $$ is :
- A.$$\pi \sqrt 2 $$
- B.$$\pi \left( {\sqrt 2 - 1} \right)$$
- C.$${\pi \over 2}\left( {\sqrt 2 + 1} \right)$$
- D.$$2\pi \left( {\sqrt 2 - 1} \right)$$
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