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Evaluate (i) int0^(pi//4) sin x cos x dx...

Evaluate (i) `int_0^(pi//4) sin x cos x dx` (ii) `int_0^(pi//2) (1 + cos x)^(1//2) dx` (iii) `int_0^(pi//2) (1 + sin x)^(1//2) dx` (iv) `int_0^(pi//4) (1 -cos 2x)^(1//2)dx`

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