The value of is

MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals

Problem

The value of

\sqrt{2} \int \frac{\sin x dx}{\sin \left( x - \frac{\pi}{4} \right)}

is (1)

x + \log \left| \cos \left( x - \frac{\pi}{4} \right) \right| + C

(2)

x + \log \left| \sin \left( x - \frac{\pi}{4} \right) \right| + C

(3)

x - \log \left| \sin \left( x - \frac{\pi}{4} \right) \right| + C

(4)

x - \log \left| \cos \left( x - \frac{\pi}{4} \right) \right| + C