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"If "int x^(5)(1+x^(3))^(2//3)dx=A(1+x^(...

`"If "int x^(5)(1+x^(3))^(2//3)dx=A(1+x^(3))^(8//3)+B(1+x^(3))^(5//3)+c, " then " `

A

`A=(1)/(4),B=(1)/(5)`

B

`A=(1)/(8),B=(1)/(5)`

C

`A=-(1)/(8),B=(1)/(5)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
`intx^(2)x^(3) (1+x^(3))^(2//3)dx " "1+x^(3)=t^(3) `
` int(t^(3)-1),t^(2)t^(2)dt " " x^(2)dx=t^(2)dt`
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