7.1E: Exercises for Integration by Parts - Mathematics LibreTexts
https://math.libretexts.org/Courses/Monroe_Community_College/MTH_211_Calculus_II/Chapter_7%3A_Techniques_of_Integration/7.1%3A_Integration_by_Parts/7.1E%3A_Exercises_for_Integration_by_Parts
WEBJun 23, 2021 · In using the technique of integration by parts, you must carefully choose which expression is \(u\). For each of the following problems, use the guidelines in this section to choose \(u\). Do not evaluate the integrals. 1) \(\displaystyle ∫x^3e^{2x}\,dx\) Answer \( u=x^3\) 2) \(\displaystyle ∫x^3\ln(x)\,dx\) 3) \(\displaystyle ∫y^3\cos y ...
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