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Popular >

integral of 1/(8x^2)

Solution

\int \frac{1}{8 x ^{2}} d x

Solution

- \frac{1}{8 x} + C

Solution steps

\int \frac{1}{8 x ^{2}} d x

Take the constant out:

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

= \frac{1}{8} \cdot \int \frac{1}{x ^{2}} d x

Apply the Power Rule

: - \frac{1}{x}

= \frac{1}{8} (- \frac{1}{x})

Simplify

\frac{1}{8} (- \frac{1}{x}) : - \frac{1}{8 x}

= - \frac{1}{8 x}

Add a constant to the solution

= - \frac{1}{8 x} + C

Graph

Popular Examples

integral of xsqrt(x^2-36)

\int x x^{2} - 36 d x

integral of ((5-2x))/(sqrt(12x-4x^2))

\int \frac{( 5 - 2 x )}{12 x - 4 x ^{2}} d x

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\int t 1 - t d t

integral of 6/(x^2)cos(6/x)

\int \frac{6}{x ^{2}} cos (\frac{6}{x}) d x

integral of ln(1/x+1)

\int ln (\frac{1}{x} + 1) d x

Frequently Asked Questions (FAQ)

What is the integral of 1/(8x^2) ?
The integral of 1/(8x^2) is -1/(8x)+C