Final answer to the problem
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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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To rationalize the denominator of the fraction, we multiply the numerator and denominator by $\sqrt{2x+1}$
Learn how to solve rationalisation problems step by step online.
$\frac{\left(x+1\right)\left(6x+1\right)\left(7x+1\right)}{\sqrt{2x+1}}\frac{\sqrt{2x+1}}{\sqrt{2x+1}}$
Learn how to solve rationalisation problems step by step online. Rationalize and simplify the expression ((x+1)(6x+1)(7x+1))/((2x+1)^(1/2)). To rationalize the denominator of the fraction, we multiply the numerator and denominator by \sqrt{2x+1}. Multiplying fractions \frac{\left(x+1\right)\left(6x+1\right)\left(7x+1\right)}{\sqrt{2x+1}} \times \frac{\sqrt{2x+1}}{\sqrt{2x+1}}. When multiplying two powers that have the same base (\sqrt{2x+1}), you can add the exponents. Cancel exponents \frac{1}{2} and 2.