Find the indefinite integral.
- {eq}\displaystyle \int\frac{1}{x\sqrt{9x^2-1}}{/eq}
(Use C for the constant of integration.)
Question:
Find the indefinite integral.
- {eq}\displaystyle \int\frac{1}{x\sqrt{9x^2-1}}{/eq}
(Use C for the constant of integration.)
Indefinite Integral:
The indefinite integral is solved in many ways, we can first simplify the integral by taking the substitution, and then can apply the formula that is available to get the value of the integral. The result will have the original variable after back substitution.
Answer and Explanation: 1
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We have to solve the indefinite integral;
{eq}\int\frac{dx}{x\sqrt{9x^2-1}}\\ {/eq}
Now, we will take the substitution of:
{eq}u=\sqrt{9x^2-1}\\...
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Chapter 7 / Lesson 14Learn the concept and rules of indefinite and definite integrals, as well as how to find an indefinite integral through examples. View a table of integrals.