Final Answer
Step-by-step Solution
Specify the solving method
The integral of a constant times a function is equal to the constant multiplied by the integral of the function
Learn how to solve problems step by step online.
$3\int_{\left(3y^2-6y\right)}^{\left(2y-y^2\right)} ydy$
Learn how to solve problems step by step online. Integrate the function 3y from 3y^2-6y to 2y-y^2. The integral of a constant times a function is equal to the constant multiplied by the integral of the function. Applying the power rule for integration, \displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}, where n represents a number or constant function, in this case n=1. Evaluate the definite integral. Multiply -1 times \frac{1}{2}.