Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
- FOIL Method
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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. Integrate the function (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.