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Find the Integral x(3x+1)1/3dx\int \frac{x}{(3 x+1)^{1 / 3}} d x A) 13[(3x+1)5/35(3x+1)2/32]+C\frac{1}{3}\left[\frac{(3 x+1)^{5 / 3}}{5}-\frac{(3 x+1)^{2 / 3}}{2}\right]+C

Question 194

Multiple Choice

Find the integral.
- x(3x+1) 1/3dx\int \frac{x}{(3 x+1) ^{1 / 3}} d x


A) 13[(3x+1) 5/35(3x+1) 2/32]+C\frac{1}{3}\left[\frac{(3 x+1) ^{5 / 3}}{5}-\frac{(3 x+1) ^{2 / 3}}{2}\right]+C
B) (3x+1) 5/35(3x+1) 2/32+C\frac{(3 x+1) ^{5 / 3}}{5}-\frac{(3 x+1) ^{2 / 3}}{2}+C
C) 13(3x+1) 5/35(3x+1) 2/32+C\frac{1}{3} \frac{(3 x+1) ^{5 / 3}}{5}-\frac{(3 x+1) ^{2 / 3}}{2}+C
D) 13[(3x+1) 5/32(3x+1) 2/35]+C\frac{1}{3}\left[\frac{(3 x+1) ^{5 / 3}}{2}-\frac{(3 x+1) ^{2 / 3}}{5}\right]+C

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