Under derivative in calculus
asked Nov 25, 2016 in Calculus Answers by Martin Kishao

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Let y=e^(tanø), y'=e^(tanø) * sec^2(ø), so dy=e^(tanø)sec^2(ø)dø.

The expression becomes sec^2(ø)dø+dy which integrates to tanø+e^(tanø).

Apply the limits: π/4>ø>0: (1+e)-(0+1))=e.

answered Nov 25, 2016 by Rod Top Rated User (429,780 points)
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