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\int10x\left(x^2+3\right)^3dx

Integral of x(x^2+3)^3*10

Answer

$\int x^{3}\left(180+60x^2\right)dx+\int x^{5}\left(30+10x^2\right)dx+\int270xdx+45x^{6}$

Step-by-step explanation

Problem

$\int10x\left(x^2+3\right)^3dx$
1

Apply the rule of the cube of a binomial

$\int10x\left(9+6x^2+\left(x^2\right)^2\right)\left(3+x^2\right)dx$

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Answer

$\int x^{3}\left(180+60x^2\right)dx+\int x^{5}\left(30+10x^2\right)dx+\int270xdx+45x^{6}$

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