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Connect int x^(m-1)(a+bx^(n))^(p)dx with...

Connect `int x^(m-1)(a+bx^(n))^(p)dx` with `int x^(m-n-1)(a+bx^(n))^(p)dx` and evaluate `int(x^(8)dx)/((1-x^(3))^(1//3))`.

Text Solution

Verified by Experts

The correct Answer is:
`-1/8 x^(6)(1-x^(3))^(2//3)-(3)/(20)x^(3)(1-x^(3))^(2//3)-(9)/(40)(1-x^(3))^(2//3)+C`
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