Problem : $$\int(\sin x+\cos x)^n\ dx$$
I am not getting any clue how to integrate this. Please help . I will be grateful to you. Thanks.
2026-03-30 10:09:27.1774865367
Integrate : $\int(\sin x+\cos x)^ndx$
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Hint: We have $$\sin x+\cos x=\sqrt{2}\sin(x+\pi/4).$$ Now use the usual Reduction Formula.