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$\int\frac{x^4-2x^3-11x^2+30x-20}{x^2+3x-2}dx$
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Learn how to solve integral calculus problems step by step online. Find the integral of (x^4-2x^3-11x^230x+-20)/(x^2+3x+-2). Find the integral. Divide x^4-2x^3-11x^2+30x-20 by x^2+3x-2. Resulting polynomial. Expand the integral \int\left(x^{2}-5x+6+\frac{2x-8}{x^2+3x-2}\right)dx into 4 integrals using the sum rule for integrals, to then solve each integral separately.
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
Integration assigns numbers to functions in a way that can describe displacement, area, volume, and other concepts that arise by combining infinitesimal data.