Final answer to the problem
Step-by-step Solution
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Simplify the expression inside the integral
Learn how to solve integrals of polynomial functions problems step by step online.
$\int x^2dx+\int5xdx+\int\frac{-23}{x^2-4}dx+\int3dx$
Learn how to solve integrals of polynomial functions problems step by step online. Integrate int(x^2+4x-23/(x^2-4)x+3)dx. Simplify the expression inside the integral. Factor the difference of squares x^2-4 as the product of two conjugated binomials. Rewrite the fraction \frac{-23}{\left(x+2\right)\left(x-2\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(x+2\right)\left(x-2\right).