5.4 Indefinite Integrals and the Net Change Theorem/31
< 5.4 Indefinite Integrals and the Net Change Theorem
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Revision as of 20:14, 20 September 2022 by Cynthiac61995@students.laalliance.org (talk | contribs)
Failed to parse (unknown function "\begin{align}"): {\displaystyle \begin{align} \int_{0}^{1}x\left(\sqrt[3]{x}+\sqrt[4]{x}\right)dx &=\int_{0}^{1}x\left(x^{\frac{1}{3}}+x^{\frac{1}{4}}\right)dx=\int_{0}^{1}\left(x^{\frac{4}{3}}+x^{\frac{5}{4}}\right)dx \\[2ex] &= \left(\frac{3x^{\frac{7}{3}}{7}+\frac{4x^{\frac{9}{4}}{9}\right)\bigg|_{0}^{1} \end{align} }