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Grade 11Integral Calculus

Integral 0 to pi e^cosx cos (sinx) dx

Profile image of shreya shukla
13 Years agoGrade 11
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1 Answer

Profile image of Aravind Bommera
13 Years ago

Hi,Shreya

 

Let u = sin(x). Then du = cos(x) dx. So you can now antidifferentiate e^u du. This
is e^u + C = e^sin(x) + C.

 

Then substitute your range 0 to pi.

e^sin (pi)-e^sin(0)

=0-0

=0