int(x^(2)+1)sqrt(x+1)dx is equal to...

`int(x^(2)+1)sqrt(x+1)dx` is equal to

A

(a) `(x+1)^(7//2)/7-(2(x+1)^(5//2))/5+(2(x+1)^(3//2))/3+c`

B

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

C

(c) `(x+1)^(7//2)/7-(2(x+1)^(5//2))/5+c`

D

(d) `(x+1)^(7//2)/7-(3(x+1)^(5//2))/5+11(x+1)^(5//2)+c`

Verified by Experts

The correct Answer is:

B

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