Final Answer
Step-by-step Solution
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Rewrite the expression $\frac{3x^2+1}{\left(x^2-1\right)\left(x^2+6\right)}$ inside the integral in factored form
Learn how to solve integrals by partial fraction expansion problems step by step online.
$\int\frac{3x^2+1}{\left(x+1\right)\left(x^2+6\right)\left(x-1\right)}dx$
Learn how to solve integrals by partial fraction expansion problems step by step online. Find the integral int((3x^2+1)/((x^2-1)(x^2+6)))dx. Rewrite the expression \frac{3x^2+1}{\left(x^2-1\right)\left(x^2+6\right)} inside the integral in factored form. Rewrite the fraction \frac{3x^2+1}{\left(x+1\right)\left(x^2+6\right)\left(x-1\right)} in 3 simpler fractions using partial fraction decomposition. Find the values for the unknown coefficients: A, B, C, D. The first step is to multiply both sides of the equation from the previous step by \left(x+1\right)\left(x^2+6\right)\left(x-1\right). Multiplying polynomials.