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intx^(5)sqrt(a^(3)+x^(3))dx=...

`intx^(5)sqrt(a^(3)+x^(3))dx=`

A

`(1)/(15)(a^(3)+x^(3))^((5)/(2))+(1)/(9)(a^(3)+x^(3))^((3)/(2))+c`

B

`(1)/(15)(a^(3)+x^(3))^((5)/(2))-(1)/(9)(a^(3)+x^(3))^((3)/(2))+c`

C

`(2)/(15)(a^(3)+x^(3))^((5)/(2))+(2a^(3))/(9)(a^(3)+x^(3))^((3)/(2))+c`

D

`(2)/(15)(a^(3)+x^(3))^((5)/(2))-(2a^(3))/(9)(a^(3)+x^(3))^((3)/(2))+c`

Text Solution

Verified by Experts

The correct Answer is:
D
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