Final answer to the problem
$\frac{2\sqrt{x}}{3x}$
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Step-by-step Solution
How should I solve this problem?
- Choose an option
- 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
To rationalize the denominator of the fraction, we multiply the numerator and denominator by $3\sqrt{x}$
$\frac{2}{3\sqrt{x}}\frac{\sqrt{x}}{\sqrt{x}}$
Learn how to solve rationalisation problems step by step online.
$\frac{2}{3\sqrt{x}}\frac{\sqrt{x}}{\sqrt{x}}$
Learn how to solve rationalisation problems step by step online. Rationalize and simplify the expression 2/(3x^(1/2)). To rationalize the denominator of the fraction, we multiply the numerator and denominator by 3\sqrt{x}. Multiplying fractions \frac{2}{3\sqrt{x}} \times \frac{\sqrt{x}}{\sqrt{x}}. When multiplying two powers that have the same base (\sqrt{x}), you can add the exponents. Cancel exponents \frac{1}{2} and 2.
Final answer to the problem
$\frac{2\sqrt{x}}{3x}$
