Final answer to the problem
$\frac{x^{3}}{3}+\frac{1}{2}x^2+\frac{1}{4}x+C_0$
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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
Expand the integral $\int\left(x^2+x+\frac{1}{4}\right)dx$ 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.
$\int x^2dx+\int xdx+\int\frac{1}{4}dx$
Learn how to solve integrals of polynomial functions problems step by step online. Integrate int(x^2+x1/4)dx. Expand the integral \int\left(x^2+x+\frac{1}{4}\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int x^2dx results in: \frac{x^{3}}{3}. The integral \int xdx results in: \frac{1}{2}x^2. The integral \int\frac{1}{4}dx results in: \frac{1}{4}x.
Final answer to the problem
$\frac{x^{3}}{3}+\frac{1}{2}x^2+\frac{1}{4}x+C_0$
