Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- 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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Find the integral
Learn how to solve integral calculus problems step by step online.
$\int\left(x+y\right)\left(x^2-xy+y^2\right)dx$
Learn how to solve integral calculus problems step by step online. Find the integral of (x+y)(x^2-xyy^2). Find the integral. Rewrite the integrand \left(x+y\right)\left(x^2-xy+y^2\right) in expanded form. Expand the integral \int\left(x^{3}+y^{3}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int x^{3}dx results in: \frac{x^{4}}{4}.