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

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

Answer

$5$

Step-by-step explanation

Problem

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

Multiply $-1$ times $\frac{2}{3}$

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

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Answer

$5$

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

Main topic:

Integral calculus

Used formulas:

1. See formulas

Time to solve it:

0.82 seconds