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" Q.53"int[sin^(2)((9 pi)/(8)+(x)/(4))-s...

" Q.53"int[sin^(2)((9 pi)/(8)+(x)/(4))-sin^(2)((7 pi)/(8)+(x)/(4))]dx

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int[sin^2((9pi)/8+x/4)-sin^2((7pi)/8+x/4)]dx

int[sin^2((9pi)/8+x/4)-sin^2((7pi)/8+x/4)]dx

Prove that: sin^(4)((pi)/(8))+sin^(4)((3 pi)/(8))+sin^(4)((5 pi)/(8))+sin^(4)((7 pi)/(8))=(3)/(2)

Show that sin ^(4). (pi)/(8)+ sin ^(4) .(3pi)/(8) sin ^(4). (5pi)/(8)+sin ^(4). (7pi)/(8) =(3)/(2)

int e^(x//2) sin ((pi)/(4)+ (pi)/(2) ) dx =

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sin ^(4) "" (pi)/(8) + sin ^(4) "" (3pi)/(8) + sin ^(4) "" (5pi)/(8) + sin ^(4)"" (7pi)/(8) = (3)/(2).

int_(-(pi)/(4))^((pi)/(4))(2 pi+sin2 pi x)/(2-cos2x)dx