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[Solved] Evaluate this definite integral

 
Integral
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June 15, 2021 2:52 pm
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Evaluate this definite integral:

\int_{0}^{\frac{1}{4}}3sec^2(\frac{\Pi }{4}-x\Pi )dx.

 

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June 15, 2021 2:52 pm
Topic starter
Staff 
(@armor)
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\small \int_{0}^{\frac{1}{4}}3sec^2(\frac{\Pi }{4}-x\Pi )dx=[-\frac{3}{\Pi}tan(\frac{\Pi }{4}-x\Pi )]_{0}^{\frac{1}{4}}

\small =-\frac{3}{\Pi }tan0-(-\frac{3}{\Pi }tan(\frac{\Pi }{4}))=\frac{3}{\Pi }.

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