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Grade 12Integral Calculus

How to solve this🙏Please answerIntegral dx/1-cos^4 x

Question image for How to solve this🙏Please answerIntegral dx/1-cos^
Profile image of Palak Grover
8 Years agoGrade 12
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1 Answer

Profile image of Chandan
8 Years ago
take cos2x=t
therefore
-2sinxcosx=dt
denominator will be(1-t2)
put it as (1+t)(1-t)
\int2sinxcosx /(1+t)(1-t)dt
 but 1-t=1-cos2x 
1-t=sin2x
one sinx gets cancelled
and next is easy...............

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