Final answer to the problem
$\frac{\sqrt{5}-1}{4}$
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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 $\frac{1}{\sqrt{5}+1}$ by the conjugate of it's denominator $\sqrt{5}+1$
Learn how to solve factor by difference of squares problems step by step online.
$\frac{1}{\sqrt{5}+1}\cdot \frac{\sqrt{5}-1}{\sqrt{5}-1}$
Learn how to solve factor by difference of squares problems step by step online. Rationalize and simplify the expression 1/(5^(1/2)+1). Multiply and divide the fraction \frac{1}{\sqrt{5}+1} by the conjugate of it's denominator \sqrt{5}+1. Multiplying fractions \frac{1}{\sqrt{5}+1} \times \frac{\sqrt{5}-1}{\sqrt{5}-1}. Solve the product of difference of squares \left(\sqrt{5}+1\right)\left(\sqrt{5}-1\right). Add the values 5 and -1.
Final answer to the problem
$\frac{\sqrt{5}-1}{4}$
Exact Numeric Answer
$0.309017$
