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int(x^(5))/((4x^(2)+ 1)^(4))dx is equal ...

`int(x^(5))/((4x^(2)+ 1)^(4))dx` is equal to

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The correct Answer is:
D
`I=int(x^(9)dx)/((4x^(2)+1)^(6))=int(dx)/(x^(3)(4+(1)/(x^(2)))^(6))`
`= -(1)/(2)int(d(4+(1)/(x^(2))))/((4+(1)/(x^(2)))^(6))= -(1)/(2)((4+(1)/(x^(2)))^(-5))/(-5)+C`
`=(1)/(10)(4+(1)/(x^(2)))^(-5)+C`
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CENGAGE PUBLICATION-INDEFINITE INTEGRATION-EXERCISES (Single Correct Answer Type)
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  4. If int1/(xsqrt(1-x^3))dx=alog|(sqrt(1-x^3)-1)/(sqrt(1-x^3)+1)|+b ,t h...

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