Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- 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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Find the integral
Learn how to solve integral calculus problems step by step online.
$\int\frac{x^3-8}{x-2}dx$
Learn how to solve integral calculus problems step by step online. Integrate the function (x^3-8)/(x-2). Find the integral. Rewrite the expression \frac{x^3-8}{x-2} inside the integral in factored form. Expand the integral \int\left(\left(x+1\right)^2+3\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. We can solve the integral \int\left(x+1\right)^2dx by applying integration by substitution method (also called U-Substitution). First, we must identify a section within the integral with a new variable (let's call it u), which when substituted makes the integral easier. We see that x+1 it's a good candidate for substitution. Let's define a variable u and assign it to the choosen part.