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Evaluate (x2+e3x)(x3+e3x)2/3dx\int\left(x^{2}+e^{3 x}\right)\left(x^{3}+e^{3 x}\right)^{2 / 3} d x Some of the Coefficients May Not Be Reduced

Question 7

Multiple Choice

Evaluate (x2+e3x) (x3+e3x) 2/3dx\int\left(x^{2}+e^{3 x}\right) \left(x^{3}+e^{3 x}\right) ^{2 / 3} d x .Some of the coefficients may not be reduced.


A) 315(x3+e3x) 5/3+C\frac{3}{15}\left(x^{3}+e^{3 x}\right) ^{5 / 3}+C
B) 35(x3+e3x) 5/3+C\frac{3}{5}\left(x^{3}+e^{3 x}\right) ^{5 / 3}+C
C) 95(x3+e3x) (x4+e3x) 5/3+C\frac{9}{5}\left(x^{3}+e^{3 x}\right) \left(x^{4}+e^{3 x}\right) ^{5 / 3}+C
D) 360(x3+e3x) (x4+e3x) 5/3+C\frac{3}{60}\left(x^{3}+e^{3 x}\right) \left(x^{4}+e^{3 x}\right) ^{5 / 3}+C

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