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Learn how to solve definite integrals problems step by step online.
$\int_{0}^{\frac{3}{2}}\frac{1}{x^2-4}dx$
Learn how to solve definite integrals problems step by step online. Integrate the function 1/(x^2-4) from 0 to 3/2. Simplifying. Rewrite the expression \frac{1}{x^2-4} inside the integral in factored form. Rewrite the fraction \frac{1}{\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).