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Simplify the expression inside the integral
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$\int\frac{1}{\left(s+3\right)\left(s-1\right)}ds+\int\frac{-1}{\left(s+3\right)\left(s-1\right)}ds+2\int\frac{s+1}{\left(s+3\right)\left(s-1\right)}ds$
Learn how to solve differential calculus problems step by step online. Integrate int(1/((s+3)(s-1))+-1/((s+3)(s-1))(2(s+1))/((s+3)(s-1)))ds. Simplify the expression inside the integral. Rewrite the fraction \frac{1}{\left(s+3\right)\left(s-1\right)} in 2 simpler fractions using partial fraction decomposition. Find the values for the unknown coefficients: A, B. The first step is to multiply both sides of the equation from the previous step by \left(s+3\right)\left(s-1\right). Multiplying polynomials.