Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Integrate by parts
- Integrate by partial fractions
- Integrate by substitution
- 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.
$\int\sqrt{\left(x+y\right)^2-4xy}dx$
Learn how to solve integral calculus problems step by step online. Integrate the function ((x+y)^2-4xy)^1/2. Find the integral. Expand the expression \left(x+y\right)^2 using the square of a binomial: (a+b)^2=a^2+2ab+b^2. Combining like terms 2xy and -4xy. The trinomial x^{2}-2xy+y^{2} is a perfect square trinomial, because it's discriminant is equal to zero.