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 x3x+1dx

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a
x+x22+x33-lnx+1+C
b
x-x22-x33-lnx+1+C
c
x+x22-x33-lnx+1+C
d
x33-x22+x-lnx+1+C

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detailed solution

Correct option is D

∫x3x+1dx =∫x3+1-1x+1dx =∫x3+1x+1dx+ ∫-1x+1dx =∫(x2-x+1)dx- ∫1x+1dx =x33-x22+x-lnx+1+C


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