Evaluate the indefinite integral.

{eq}\displaystyle \int \frac{dx}{nx+\theta} \ (n \neq 0) {/eq}

Question:

Evaluate the indefinite integral.

{eq}\displaystyle \int \frac{dx}{nx+\theta} \ (n \neq 0) {/eq}

Indefinite Integral:

If an integral has no upper nor lower limits, then the integral is known as an indefinite integral. An arbitrary integration constant {eq}C {/eq} will always be introduced in the solution of any indefinite integration.

Answer and Explanation: 1

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Given

  • The indefinite integral is given by {eq}\displaystyle \int {\dfrac{{dx}}{{\left( {nx + \theta } \right)}}} {/eq}. Here, {eq}n \ne 0 {/eq}.

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Indefinite Integral: Definition, Rules & Examples

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Chapter 7 / Lesson 14
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Learn 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.


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