Learn how to solve differential calculus problems step by step online.
$\int\frac{x^6+5x^4+3x^2-2x}{x^2-x+3}dx$
Unlock unlimited step-by-step solutions and much more!
Create a free account and unlock a glimpse of this solution.
Learn how to solve differential calculus problems step by step online. Find the integral of (x^6+5x^43x^2-2x)/(x^2-x+3). Find the integral. Divide x^6+5x^4+3x^2-2x by x^2-x+3. Resulting polynomial. Expand the integral \int\left(x^{4}+x^{3}+3x^{2}-6+\frac{-8x+18}{x^2-x+3}\right)dx into 5 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
The derivative of a function of a real variable measures the sensitivity to change of a quantity (a function value or dependent variable) which is determined by another quantity (the independent variable). Derivatives are a fundamental tool of calculus.