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Popular >

integral of 1/(xnx)

Solution

\int \frac{1}{x n x} d x

Solution

- \frac{1}{n x} + C

Solution steps

\int \frac{1}{x n x} d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= \frac{1}{n} \cdot \int \frac{1}{xx} d x

xx = x^{2}

= \frac{1}{n} \cdot \int \frac{1}{x ^{2}} d x

Apply the Power Rule

: - \frac{1}{x}

= \frac{1}{n} (- \frac{1}{x})

Simplify

\frac{1}{n} (- \frac{1}{x}) : - \frac{1}{n x}

= - \frac{1}{n x}

Add a constant to the solution

= - \frac{1}{n x} + C

Popular Examples

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arcsin (x^{7})

derivative of e^{3x}-6/(sqrt(x))

\frac{d}{d x} (e^{3 x} - \frac{6}{x})

taylor 2x*e^{2x}taylor

2 x \cdot e^{2 x}

integral of t/(1-t^2)

\int \frac{t}{1 - t ^{2}} d t

derivative of 2x^2-4x+4

\frac{d}{d x} (2 x^{2} - 4 x + 4)

Frequently Asked Questions (FAQ)

What is the integral of 1/(xnx) ?
The integral of 1/(xnx) is -1/(nx)+C