Learn how to solve differential calculus problems step by step online.
$\int\frac{2x^3+9x^2+14x+5}{2x^2+1}dx$
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Learn how to solve differential calculus problems step by step online. Integrate the function (2x^3+9x^214x+5)/(2x^2+1). Find the integral. Divide 2x^3+9x^2+14x+5 by 2x^2+1. Resulting polynomial. Expand the integral \int\left(x+\frac{9}{2}+\frac{13x+\frac{1}{2}}{2x^2+1}\right)dx into 3 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.