Final answer to the problem
Step-by-step Solution
Specify the solving method
Find the integral
Learn how to solve integral calculus problems step by step online.
$\int\left(\sqrt{x}+3\sqrt{y}\right)\left(\sqrt{x}-3\sqrt{y}\right)dx$
Learn how to solve integral calculus problems step by step online. Find the integral of (x^1/2+3y^1/2)(x^1/2-3y^1/2). Find the integral. Rewrite the integrand \left(\sqrt{x}+3\sqrt{y}\right)\left(\sqrt{x}-3\sqrt{y}\right) in expanded form. Expand the integral \int\left(x-9y\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int xdx results in: \frac{1}{2}x^2.