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Learn how to solve integrals of rational functions problems step by step online. Find the integral int((2x^3-x+5)/(x^3+1))dx. Divide 2x^3-x+5 by x^3+1. Resulting polynomial. Expand the integral \int\left(2+\frac{-x+3}{x^3+1}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int2dx results in: 2x.
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