Final answer to the problem
$\frac{\left(\sqrt{3}-3\right)\sqrt{5}}{-6}$
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Step-by-step Solution
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- 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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1
Multiply and divide the fraction $\frac{\sqrt{5}}{\sqrt{3}+3}$ by the conjugate of it's denominator $\sqrt{3}+3$
$\frac{\sqrt{5}}{\sqrt{3}+3}\cdot \frac{\sqrt{3}-3}{\sqrt{3}-3}$
Learn how to solve factor by difference of squares problems step by step online. Rationalize and simplify the expression (5^(1/2))/(3^(1/2)+3). Multiply and divide the fraction \frac{\sqrt{5}}{\sqrt{3}+3} by the conjugate of it's denominator \sqrt{3}+3. Multiplying fractions \frac{\sqrt{5}}{\sqrt{3}+3} \times \frac{\sqrt{3}-3}{\sqrt{3}-3}. Solve the product of difference of squares \left(\sqrt{3}+3\right)\left(\sqrt{3}-3\right). Add the values 3 and -9.
Final answer to the problem
$\frac{\left(\sqrt{3}-3\right)\sqrt{5}}{-6}$
Exact Numeric Answer
$0.472537$
