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Learn how to solve integrals of rational functions problems step by step online. Find the integral int((x^2+x+-2)/(2x^2-6))dx. Divide x^2+x-2 by 2x^2-6. Resulting polynomial. Expand the integral \int\left(\frac{1}{2}+\frac{x+1}{2x^2-6}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{1}{2}dx results in: \frac{1}{2}x.
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