Rewrite the fraction $\frac{x}{10-x^2}$ inside the integral as the product of two functions: $x\frac{1}{10-x^2}$
$\int x\frac{1}{10-x^2}dx$
Learn how to solve integrals of rational functions problems step by step online.
$\int x\frac{1}{10-x^2}dx$
Unlock unlimited step-by-step solutions and much more!
Create a free account and unlock a glimpse of this solution.
Learn how to solve integrals of rational functions problems step by step online. Find the integral int(x/(10-x^2))dx. Rewrite the fraction \frac{x}{10-x^2} inside the integral as the product of two functions: x\frac{1}{10-x^2}. We can solve the integral \int x\frac{1}{10-x^2}dx by applying integration by parts method to calculate the integral of the product of two functions, using the following formula. First, identify u and calculate du. Now, identify dv and calculate v.
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