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Evaluate the following integrals int0^(p...

Evaluate the following integrals `int_0^(pi/4)tan^2xdx`

Text Solution

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`int_0^(pi/4)tan^2xdx=int_0^(pi/4)(sec^2 x-1)dx`
`[tanx-x]_o^(pi/4)`
`tan(pi/4)-(pi/4)=(4-pi)/4`
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