Exercise
$\int_1^2x\left(x+y\right)dx$
Step-by-step Solution
Learn how to solve special products problems step by step online. Integrate the function x(x+y) from 1 to 2. Rewrite the integrand x\left(x+y\right) in expanded form. Expand the integral \int_{1}^{2}\left(x^2+yx\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int_{1}^{2} x^2dx results in: \frac{8}{3}-\frac{1}{3}. Gather the results of all integrals.
Integrate the function x(x+y) from 1 to 2
Final answer to the exercise
$\frac{7}{3}+\frac{3}{2}y$