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  4. The value of the definite integral ∫ limits03 π / 4((1+x) sin x+(1-x) cos x) d x, is

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Q. The value of the definite integral $\int\limits_0^{3 \pi / 4}((1+x) \sin x+(1-x) \cos x) d x$, is

Integrals

Solution:

Correct answer is (a) $2 \tan \frac{3 \pi}{8}$