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Q: If ∫x3(√ ((1+x2)/(1-x2)))dx= A √(1-x4) - Bx2(√(1-x4) + C sin-1 (x2) + D ,then A+B+C=?

A. -1/2

B.-1/4

C.1/4

D.1/2

Tapasranjan Das , 15 Years ago
Grade 12
anser 1 Answers
Badiuddin askIITians.ismu Expert

Last Activity: 15 Years ago

Dear Tapasranjan

∫x3(√ ((1+x2)/(1-x2)))dx= A √(1-x4) - Bx2(√(1-x4) + C sin-1 (x2) + D

differentiate w.r.t x

 and simplify

 x2 +x4 = x2(-2A) + x4(4B) +2C -2B

compair coefficient of same power of x

 -2A =1

  A =-1/2


4B =1

 B=1/4


2C -2B =0

 C=B=1/4


now  A+B+C =0

please check the question again ,answer is not mathcing.

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