Final Answer
$4$
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Step-by-step Solution
Problem to solve:
$\int_{-1}^{1}\frac{x^2-4}{x-2}dx$
Specify the solving method
1
Rewrite the expression $\frac{x^2-4}{x-2}$ inside the integral in factored form
$\int_{-1}^{1}\left(x+2\right)dx$
Learn how to solve definite integrals problems step by step online.
$\int_{-1}^{1}\left(x+2\right)dx$
Learn how to solve definite integrals problems step by step online. Integrate the function (x^2-4)/(x-2) from -1 to 1. Rewrite the expression \frac{x^2-4}{x-2} inside the integral in factored form. Expand the integral \int_{-1}^{1}\left(x+2\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{-1}^{1} xdx results in: 0. The integral \int_{-1}^{1}2dx results in: 4.
Final Answer
$4$