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Rewrite the fraction $\frac{t+3}{t^2\left(t^2+9\right)}$ in $3$ simpler fractions using partial fraction decomposition
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$\frac{t+3}{t^2\left(t^2+9\right)}=\frac{A}{t^2}+\frac{Bt+C}{t^2+9}+\frac{D}{t}$
Learn how to solve problems step by step online. Find the integral int((t+3)/(t^2(t^2+9)))dt. Rewrite the fraction \frac{t+3}{t^2\left(t^2+9\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 t^2\left(t^2+9\right). Multiplying polynomials. Simplifying.