Learn how to solve integral calculus problems step by step online.
$\int\frac{x^6+x^5}{x^2+1}dx$
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Learn how to solve integral calculus problems step by step online. Integrate the function (x^6+x^5)/(x^2+1). Find the integral. Divide x^6+x^5 by x^2+1. Resulting polynomial. Expand the integral \int\left(x^{4}+x^{3}-x^{2}-x+1+\frac{x-1}{x^2+1}\right)dx into 6 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.