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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```
7 years ago

147 Points
```
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
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```
7 years ago
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