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Learn how to solve integrals of rational functions problems step by step online. Find the integral int((9x^3-8x^2-4x+48)/(x^2-4))dx. Divide 9x^3-8x^2-4x+48 by x^2-4. Resulting polynomial. Expand the integral \int\left(9x-8+\frac{32x+16}{x^2-4}\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int9xdx results in: \frac{9}{2}x^2.
Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more