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Playwithmeee
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I have a math final tommorow help please!
How do I integrate e^(x^1/3)
Thank you !
How do I integrate e^(x^1/3)
Thank you !
The formula for integrating e^(x^1/3) is ∫e^(x^1/3)dx = 3x^1/3e^(x^1/3) + C.
The process for integrating e^(x^1/3) involves using u-substitution. Let u = x^1/3, then the integral becomes ∫e^u * 3u^2du, which can then be integrated using the power rule.
Yes, there are a few special rules to keep in mind when integrating e^(x^1/3). One is that the constant of integration (C) is always necessary in the final answer. Another is that the integral of e^(x^1/3) will always involve the original function e^(x^1/3) in some way.
Common mistakes when integrating e^(x^1/3) include forgetting to include the constant of integration, making errors in the u-substitution process, and forgetting to use the power rule when integrating the u-term.
Sure, an example problem of integrating e^(x^1/3) would be ∫e^(x^1/3)dx. Using u-substitution, let u = x^1/3, then the integral becomes ∫e^u * 3u^2du. Using the power rule, we get 3u^3/3 + C = u^3 + C = x + C. So, the final answer is 3x^1/3e^(x^1/3) + C.