Final answer to the problem
Step-by-step Solution
Specify the solving method
Rewrite the fraction $\frac{2x}{\left(1-x\right)^7}$ inside the integral as the product of two functions: $2x\frac{1}{\left(1-x\right)^7}$
Learn how to solve integrals of rational functions problems step by step online.
$\int2x\frac{1}{\left(1-x\right)^7}dx$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int((2x)/((1-x)^7))dx. Rewrite the fraction \frac{2x}{\left(1-x\right)^7} inside the integral as the product of two functions: 2x\frac{1}{\left(1-x\right)^7}. We can solve the integral \int2x\frac{1}{\left(1-x\right)^7}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.