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intx^(13//2)(1+x^(5//2))^(1//2)dx=...

`intx^(13//2)(1+x^(5//2))^(1//2)dx=`

A

`2/5[2/7(1+x^(5//2))^(7//2)+4/5(1+x^(5//2))^(5//2)+2/3(1+x^(5//2))^(3//2)]+c`

B

`2/5[2/7(1+x^(5//2))^(7//2)-4/5(1+x^(5//2))^(5//2)-2/3(1+x^(5//2))^(3//2)]+c`

C

`2/5[2/7(1+x^(5//2))^(7//2)+4/5(1+x^(5//2))^(5//2)-2/3(1+x^(5//2))^(3//2)]+c`

D

`2/5[2/7(1+x^(5//2))^(7//2)-4/5(1+x^(5//2))^(5//2)+2/3(1+x^(5//2))^(3//2)]+c`

Text Solution

Verified by Experts

The correct Answer is:
D
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