Final Answer
Step-by-step Solution
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Rewrite the fraction $\frac{33+58x+17x^2}{\left(x^2+7x+10\right)\left(3x+1\right)}$ in $2$ simpler fractions using partial fraction decomposition
Learn how to solve integrals by partial fraction expansion problems step by step online.
$\frac{33+58x+17x^2}{\left(x^2+7x+10\right)\left(3x+1\right)}=\frac{Ax+B}{x^2+7x+10}+\frac{C}{3x+1}$
Learn how to solve integrals by partial fraction expansion problems step by step online. Find the integral int((33+58x17x^2)/((x^2+7x+10)(3x+1)))dx. Rewrite the fraction \frac{33+58x+17x^2}{\left(x^2+7x+10\right)\left(3x+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^2+7x+10\right)\left(3x+1\right). Multiplying polynomials. Simplifying.