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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
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. Please feel free to post as many doubts on our discussion forum as you can.If you find any question Difficult to understand - post it here and we will get you the answer and detailed solution very quickly. We are all IITians and here to help you in your IIT JEE & AIEEE preparation. All the best. Regards,Askiitians ExpertsBadiuddin
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.
Please feel free to post as many doubts on our discussion forum as you can.If you find any question Difficult to understand - post it here and we will get you the answer and detailed solution very quickly. We are all IITians and here to help you in your IIT JEE & AIEEE preparation. All the best. Regards,Askiitians ExpertsBadiuddin
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