Evaluate the integral.

{eq}\int \frac{dx}{x\sqrt{x^2+1}} {/eq}


Evaluate the integral.

{eq}\int \frac{dx}{x\sqrt{x^2+1}} {/eq}

Integration by Partial Fraction:

Integration using the partial fraction is one of the methods of integration. This method is used to decompose integrand into a simpler form so that we can integrate easily.

Answer and Explanation: 1

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Consider the given integral {eq}\int{\frac{1}{x\sqrt{{{x}^{2}}+1}}dx} {/eq}

{eq}\begin{aligned} \text{Let }t &=\sqrt{1+{{x}^{2}}} \\ {{t}^{2}} &...

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Learn more about this topic:

How to Integrate Functions With Partial Fractions


Chapter 13 / Lesson 10

Learn about integration by partial fractions. Explore how to make partial fractions and then how to integrate fractions. See examples of integrating fractions.

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