Question

Find∫ -2 up to 0 of x^3(x^2-1)dx

Answer 1

\[\int\limits_{-2}^{0}x^3(x^2-1)dx=\int\limits_{-2}^{0}x^5-x^3dx=\left[ 1/6(x^6)-1/4(x^4) \right]=0-32/3+4=-20/3\]

Answer 2

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