Learn how to solve differential calculus problems step by step online.
$\int\frac{11+9x+15x^3-18x^4}{3x^2+2}dx$
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Learn how to solve differential calculus problems step by step online. Integrate the function (11+9x15x^3-18x^4)/(3x^2+2). Find the integral. Divide 11+9x+15x^3-18x^4 by 3x^2+2. Resulting polynomial. Expand the integral \int\left(-6x^{2}+5x+4+\frac{-x+3}{3x^2+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
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.