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Evaluate : int(-pi/2) ^(pi/2) sin^2x dx...

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

Text Solution

Verified by Experts

Let `l=int_(-pi//2)^(pi//2)sin^(2)xdx`
`:'sin^(2)x` is an even function
`=2int_(0)^(pi//2)sin^(2)xdx=(x-(sin2x)/(2))_(0)^(pi//2)=pi//2`
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