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- Integrate by substitution
- Integrate by partial fractions
- 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
- FOIL Method
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Rewrite the integrand $x\left(5-6x\right)\left(4x^3+5x^2+7\right)^2$ in expanded form
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$\int\left(-160x^{7}+50x^{6}+125x^{5}-96x^{8}\right)dx$
Learn how to solve problems step by step online. Find the integral int(x(5-6x)(4x^3+5x^2+7)^2)dx. Rewrite the integrand x\left(5-6x\right)\left(4x^3+5x^2+7\right)^2 in expanded form. Expand the integral \int\left(-160x^{7}+50x^{6}+125x^{5}-96x^{8}\right)dx into 4 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int-160x^{7}dx results in: -20x^{8}. The integral \int50x^{6}dx results in: \frac{50}{7}x^{7}.