Final Answer
Step-by-step Solution
Specify the solving method
Rewrite the fraction $\frac{y}{y^2-y-30}$ inside the integral as the product of two functions: $y\frac{1}{y^2-y-30}$
Learn how to solve definite integrals problems step by step online.
$\int_{9}^{13} y\frac{1}{y^2-y-30}dy$
Learn how to solve definite integrals problems step by step online. Integrate the function y/(y^2-y+-30) from 9 to 13. Rewrite the fraction \frac{y}{y^2-y-30} inside the integral as the product of two functions: y\frac{1}{y^2-y-30}. We can solve the integral \int y\frac{1}{y^2-y-30}dy 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.