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Popular >

integral of-1/(2x^2)

Solution

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

Solution

\frac{1}{2 x} + C

Solution steps

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

Take the constant out:

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

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

Apply the Power Rule

: - \frac{1}{x}

= - \frac{1}{2} (- \frac{1}{x})

Simplify

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

= \frac{1}{2 x}

Add a constant to the solution

= \frac{1}{2 x} + C

Popular Examples

derivative of f(x)=(1/(2x+3))^3 derivative of

f (x) = (\frac{1}{2 x + 3})^{3}

tangent of 8/(x^2+4)(2.1)tangent of

\frac{8}{x ^{2} + 4} (2.1)

integral of 1/(x^{1/5)+2}

\int \frac{1}{x ^{\frac{1}{5}} + 2} d x

integral from 1 to 8 of \sqrt[3]{x}

derivative of 2x^2-2

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

Frequently Asked Questions (FAQ)

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