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Integrate 1/3x^(-12/3)+6/5x^(1/5)+7x^(4/3) from 0 to 1

\int_{0}^{1}\left(7x^{\frac{4}{3}}+\frac{1}{3} x^{-\frac{2}{3}}+\frac{6}{5} x^{\frac{1}{5}}\right)dx

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Problem

$\int_{0}^{1}\left(7x^{\frac{4}{3}}+\frac{1}{3} x^{-\frac{2}{3}}+\frac{6}{5} x^{\frac{1}{5}}\right)dx$

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Answer

$\int_{0}^{1}\sqrt{35}u^{5}du+\lim_{c\to0}\:\int_{c}^{1}\frac{1}{3}x^{-\frac{2}{3}}dx+\int_{0}^{1}7\sqrt[3]{x^{4}}dx$

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Problem Stats

Main topic:

Integration by substitution

Used formulas:

1

Time to solve it:

0.49 seconds

Views:

98