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Evaluate the following integrals int0^(p...

Evaluate the following integrals `int_0^(pi/2)(cosx-sinx)dx`

Text Solution

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`int_0^(pi/2)(cosx-sinx)dx=[sinx+cosx]_0^(pi/2)`
`(sin(pi/2)-sin0)+(cos(pi/2)-cos0)=1-1=0`
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