Final answer to the problem
Step-by-step Solution
Specify the solving method
Rewrite the fraction $\frac{x}{x^2+7}$ inside the integral as the product of two functions: $x\frac{1}{x^2+7}$
Learn how to solve integral calculus problems step by step online.
$8\int_{1}^{2} x\frac{1}{x^2+7}dx$
Learn how to solve integral calculus problems step by step online. Find the integral 8int(x/(x^2+7))dx&1&2. Rewrite the fraction \frac{x}{x^2+7} inside the integral as the product of two functions: x\frac{1}{x^2+7}. We can solve the integral \int x\frac{1}{x^2+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.