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

question 7

Multiple Choice

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

• A) \(\frac{3}{15}\left(x^{3}+e^{3 x}\right)^{5 / 3}+C\)
• B) \(\frac{3}{5}\left(x^{3}+e^{3 x}\right)^{5 / 3}+C\)
• C) \(\frac{9}{5}\left(x^{3}+e^{3 x}\right)\left(x^{4}+e^{3 x}\right)^{5 / 3}+C\)
• D) \(\frac{3}{60}\left(x^{3}+e^{3 x}\right)\left(x^{4}+e^{3 x}\right)^{5 / 3}+C\)

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Definitions:

Oppositional Identity Formation

A process in which individuals develop identities that are in opposition to mainstream or dominant cultural norms, often in response to stigma or marginalization.

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Contrary Identity

An identity formed in opposition to certain norms, expectations, or identities established by society.

Ethnic Identity

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