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- Find the integral
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Prove from LHS (left-hand side)
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$\int\left(5x-1\right)^3\left(2x^2+1\right)^4dx$
Learn how to solve problems step by step online. Find the integral of (5x-1)^3(2x^2+1)^4. Find the integral. Rewrite the integrand \left(5x-1\right)^3\left(2x^2+1\right)^4 in expanded form. Expand the integral \int\left(2000x^{11}+4240x^{9}+3480x^{7}+1360x^{5}+245x^{3}-1200x^{10}-2416x^{8}-1832x^{6}-624x^{4}-83x^2+15x-1\right)dx into 12 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int2000x^{11}dx results in: \frac{500}{3}x^{12}.