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Evaluate the definite integralsint0^(pi...

Evaluate the definite integrals`int_0^(pi/2)cos^2xdx`

Text Solution

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Consider `I=int_0^(pi/2)cos^2xdx`..........(1)
`I=int_0^(pi/2)cos^2(pi/2-x)dx`
`I=int_0^(pi/2)sin^2(x)dx` ......(2)
Adding `1` and `2`, we get
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