Final answer to the problem
Step-by-step Solution
Specify the solving method
Find the integral
Learn how to solve integral calculus problems step by step online.
$\int\left(\frac{1}{x^2-4x+4}-\frac{1}{4}\right)dx$
Learn how to solve integral calculus problems step by step online. Integrate the function 1/(x^2-4x+4)-1/4. Find the integral. Expand the integral \int\left(\frac{1}{x^2-4x+4}-\frac{1}{4}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\frac{1}{x^2-4x+4}dx results in: \frac{1}{-\left(x-2\right)}. The integral \int-\frac{1}{4}dx results in: -\frac{1}{4}x.