How to prove that int_(-pi/2)^(pi/2)(cos(2x))/(e^x+1)=0 ?

Goundoubuf

Goundoubuf

Answered question

2022-11-24

How to prove that π / 2 π / 2 cos ( 2 x ) e x + 1 = 0

Answer & Explanation

artyleriaCuy

artyleriaCuy

Beginner2022-11-25Added 10 answers

Let x x then we get I = π / 2 π / 2 cos ( 2 x ) e x + 1 - adding them we have:
2 I = π / 2 π / 2 cos ( 2 x ) e x + 1 + cos ( 2 x ) e x + 1 d x = π / 2 π / 2 cos ( 2 x ) = 0 . Thus I = 0

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