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Rewrite the expression $\frac{1}{1+t^3}$ inside the integral in factored form
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$\int_{2}^{2}\frac{1}{\left(t+1\right)\left(t^2-t+1\right)}dt$
Learn how to solve problems step by step online. Integrate the function 1/(1+t^3) from 2 to 2. Rewrite the expression \frac{1}{1+t^3} inside the integral in factored form. Rewrite the fraction \frac{1}{\left(t+1\right)\left(t^2-t+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(t+1\right)\left(t^2-t+1\right). Multiplying polynomials.