Final answer to the problem
Step-by-step Solution
Specify the solving method
Take out the constant $6$ from the integral
Learn how to solve rational equations problems step by step online.
$6\int_{-\frac{1}{2}}^{1}\frac{x^3}{\left(x^2+1\right)^2}dx$
Learn how to solve rational equations problems step by step online. Integrate the function (6x^3)/((x^2+1)^2) from -1/2 to 1. Take out the constant 6 from the integral. Rewrite the fraction \frac{x^3}{\left(x^2+1\right)^2} in 2 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 \left(x^2+1\right)^2. Multiplying polynomials.