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Step-by-step Solution

Integral of $x^4\left(2-x^2\right)$

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Answer

$\frac{2}{5}x^{5}-\frac{1}{7}x^{7}+C_0$

Step-by-step explanation

Problem to solve:

$\int x^4\left(2-x^2\right)dx$
1

Multiplying polynomials $x^4$ and $2+-x^2$

$\int\left(2x^4-x^{6}\right)dx$
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The integral of a sum of two or more functions is equal to the sum of their integrals

$\int2x^4dx+\int-x^{6}dx$

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Answer

$\frac{2}{5}x^{5}-\frac{1}{7}x^{7}+C_0$

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