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Popular >

integral of (1/x)^2

Solution

\int (\frac{1}{x})^{2} d x

Solution

- \frac{1}{x} + C

Solution steps

\int (\frac{1}{x})^{2} d x

Simplify

(\frac{1}{x})^{2} : \frac{1}{x ^{2}}

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

Apply the Power Rule

: - \frac{1}{x}

= - \frac{1}{x}

Add a constant to the solution

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

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\int e^{4 x + 2} d x

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\int \frac{( 2 x + 7 )}{x + 3} d x

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\int (x + 4) sin (nπ x) d x

sum from n=1 to infinity of 8(1/4)^n

n = 1 \sum \infty 8 (\frac{1}{4})^{n}

Frequently Asked Questions (FAQ)

What is the integral of (1/x)^2 ?
The integral of (1/x)^2 is -1/x+C