Learn how to solve differential calculus problems step by step online.
$\int\frac{5x^3+5x}{\left(x^2-x+7\right)^2}dx$
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Learn how to solve differential calculus problems step by step online. Find the integral of (5x^3+5x)/((x^2-x+7)^2). Find the integral. Rewrite the fraction \frac{5x^3+5x}{\left(x^2-x+7\right)^2} in 2 simpler fractions using partial fraction decomposition. Find the values for the unknown coefficients: A, B, C, D. The first step is to multiply both sides of the equation from the previous step by \left(x^2-x+7\right)^2. Multiplying polynomials.
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.