Final answer to the problem
$\frac{2}{3}x^{3}-3x^2+C_0$
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Step-by-step Solution
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- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
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1
Rewrite the expression $x^2-4x-\left(2x-x^2\right)$ inside the integral in factored form
$\int2x\left(x-3\right)dx$
Learn how to solve integrals of polynomial functions problems step by step online.
$\int2x\left(x-3\right)dx$
Learn how to solve integrals of polynomial functions problems step by step online. Integrate int(x^2-4x-(2x-x^2))dx. Rewrite the expression x^2-4x-\left(2x-x^2\right) inside the integral in factored form. The integral of a function times a constant (2) is equal to the constant times the integral of the function. Rewrite the integrand x\left(x-3\right) in expanded form. Expand the integral \int\left(x^2-3x\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately.
Final answer to the problem
$\frac{2}{3}x^{3}-3x^2+C_0$
