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Question Number 190325 by Shrinava last updated on 31/Mar/23

Answered by mehdee42 last updated on 31/Mar/23

I=∫_0 ^(1/2)  ((2tan(β/2)x)/(αtan^2 (β/2)x+2tan(β/2)x+α))dx  if  tan(β/2)x=u⇒I=∫_0 ^(tan(β/4))  ((4du)/(αu^2 +2u+α))  it can be solved

I=0122tanβ2xαtan2β2x+2tanβ2x+αdxiftanβ2x=uI=0tanβ44duαu2+2u+αitcanbesolved

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