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Step-by-step Solution

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

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ln
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asin
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asinh
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Answer

$\frac{1}{3}x^{6}-\frac{1}{8}x^{8}+C_0$

Step-by-step explanation

Problem to solve:

$\int_{ }^{ }x\left(2-x^2\right)x^4dx$
1

When multiplying exponents with same base you can add the exponents

$\int x^{5}\left(2-x^2\right)dx$
2

Multiplying polynomials $x^{5}$ and $2+-x^2$

$\int\left(2x^{5}-x^{7}\right)dx$

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Answer

$\frac{1}{3}x^{6}-\frac{1}{8}x^{8}+C_0$