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Learn how to solve integral calculus problems step by step online. Find the integral int((x^4+x+1)/(x^2+8x+-2))dx. Divide x^4+x+1 by x^2+8x-2. Resulting polynomial. Expand the integral \int\left(x^{2}-8x+66+\frac{-543x+133}{x^2+8x-2}\right)dx into 4 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int x^{2}dx results in: \frac{x^{3}}{3}.
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.