Rewrite the fraction $\frac{\left(2-x\right)^2}{2-x^2}$ inside the integral as the product of two functions: $\left(2-x\right)^2\frac{1}{2-x^2}$
$\int\left(2-x\right)^2\frac{1}{2-x^2}dx$
Learn how to solve problems step by step online.
$\int\left(2-x\right)^2\frac{1}{2-x^2}dx$
Unlock unlimited step-by-step solutions and much more!
Create a free account and unlock a glimpse of this solution.
Learn how to solve problems step by step online. Find the integral int(((2-x)^2)/(2-x^2))dx. Rewrite the fraction \frac{\left(2-x\right)^2}{2-x^2} inside the integral as the product of two functions: \left(2-x\right)^2\frac{1}{2-x^2}. We can solve the integral \int\left(2-x\right)^2\frac{1}{2-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