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(i)int(-pi/4)^( pi/4)|sin x|dx...

(i)int_(-pi/4)^( pi/4)|sin x|dx

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Evaluate : int_(-pi//4)^(pi//4) |sin x|dx

Evaluate : int_(-pi//4)^(pi//4) |sin x|dx

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

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Evaluate int_((-pi)/4)^(pi/4)sin^(2)x dx