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- Integrate by partial fractions
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Multiply and divide the fraction $\frac{x^2}{\sqrt{x^2+10x+5^2}-5}$ by the conjugate of it's denominator $\sqrt{x^2+10x+5^2}-5$
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$\frac{x^2}{\sqrt{x^2+10x+5^2}-5}\frac{\sqrt{x^2+10x+5^2}+5}{\sqrt{x^2+10x+5^2}+5}$
Learn how to solve rationalisation problems step by step online. Rationalize and simplify the expression (x^2)/((x^2+10x5^2)^(1/2)-5). Multiply and divide the fraction \frac{x^2}{\sqrt{x^2+10x+5^2}-5} by the conjugate of it's denominator \sqrt{x^2+10x+5^2}-5. Multiplying fractions \frac{x^2}{\sqrt{x^2+10x+5^2}-5} \times \frac{\sqrt{x^2+10x+5^2}+5}{\sqrt{x^2+10x+5^2}+5}. Solve the product of difference of squares \left(\sqrt{x^2+10x+5^2}-5\right)\left(\sqrt{x^2+10x+5^2}+5\right). Add the values 25 and -25.