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The value of \(\int_0^{\frac{\pi}{2}} \frac{\sin \left(\frac{\pi}{4}+x\right)+\sin \left(\frac{3\pi}{4}+x\right)}{\cos x…

Q1

The value of \(\int_0^{\frac{\pi}{2}} \frac{\sin \left(\frac{\pi}{4}+x\right)+\sin \left(\frac{3\pi}{4}+x\right)}{\cos x+\sin x} d x\) is:

a

\(\frac{\pi}{\sqrt{2}}\)

b

\(\frac{\pi}{2 \sqrt{2}}\)

c

\(\frac{\pi}{3 \sqrt{2}}\)

d

\(\frac{\pi}{4 \sqrt{2}}\)

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