Evaluate the following Integrals:

Given Definite can be written as:

We know that:




We know that: 1+tan2x = sec2x




Let us assume,
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Differentiating w.r.t x on both sides we get,
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Upper limit for the Definite Integral:
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Lower limit for the Definite Integral:
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Substituting (2),(3),(4) in the eq(1) we get,


We know that:
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We know that:

[here f’(x) is derivative of f(x)).

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We know that:
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