Final answer to the problem
$\frac{7\sqrt{2}}{2}$
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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
To rationalize the denominator of the fraction, we multiply the numerator and denominator by $\sqrt{2}$
$\frac{7}{\sqrt{2}}\cdot \frac{\sqrt{2}}{\sqrt{2}}$
Learn how to solve rationalisation problems step by step online.
$\frac{7}{\sqrt{2}}\cdot \frac{\sqrt{2}}{\sqrt{2}}$
Learn how to solve rationalisation problems step by step online. Rationalize and simplify the expression 7/(2^(1/2)). To rationalize the denominator of the fraction, we multiply the numerator and denominator by \sqrt{2}. Multiplying fractions \frac{7}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}}. When multiplying two powers that have the same base (\sqrt{2}), you can add the exponents. Cancel exponents \frac{1}{2} and 2.
Final answer to the problem
$\frac{7\sqrt{2}}{2}$
Exact Numeric Answer
$4.949748$
