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How should I solve this problem?
- Find the integral
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Prove from LHS (left-hand side)
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Find the integral
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$\int\left(\sqrt{x}+\sqrt{y}\right)\left(\sqrt{y}-\sqrt{x}\right)dx$
Learn how to solve problems step by step online. Find the integral of (x^1/2+y^1/2)(y^1/2-x^1/2). Find the integral. Rewrite the integrand \left(\sqrt{x}+\sqrt{y}\right)\left(\sqrt{y}-\sqrt{x}\right) in expanded form. Expand the integral \int\left(y-x\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int ydx results in: \frac{1}{2}y^2.