Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Integrate using basic integrals
- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- 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.
$\int\frac{1}{x^3+1}dx$
Learn how to solve integral calculus problems step by step online. Integrate the function 1/(x^3+1). Find the integral. Rewrite the expression \frac{1}{x^3+1} inside the integral in factored form. Rewrite the fraction \frac{1}{\left(x+1\right)\left(x^2-x+1\right)} in 2 simpler fractions using partial fraction decomposition. Find the values for the unknown coefficients: A, B, C. The first step is to multiply both sides of the equation from the previous step by \left(x+1\right)\left(x^2-x+1\right).