Final answer to the problem
$\frac{1}{2}x^{4}-4x^2+5x+C_0$
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Step-by-step Solution
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- Integrate by partial fractions
- Integrate by substitution
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- Weierstrass Substitution
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- Product of Binomials with Common Term
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1
Expand the integral $\int\left(2x^3-8x+5\right)dx$ into $3$ integrals using the sum rule for integrals, to then solve each integral separately
Learn how to solve integrals of polynomial functions problems step by step online.
$\int2x^3dx+\int-8xdx+\int5dx$
Learn how to solve integrals of polynomial functions problems step by step online. Integrate int(2x^3-8x+5)dx. Expand the integral \int\left(2x^3-8x+5\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int2x^3dx results in: \frac{1}{2}x^{4}. The integral \int-8xdx results in: -4x^2. The integral \int5dx results in: 5x.
Final answer to the problem
$\frac{1}{2}x^{4}-4x^2+5x+C_0$
