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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

Take the constant out:

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

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

Apply the Power Rule

: - \frac{1}{x}

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

Simplify

= \frac{1}{x}

Add a constant to the solution

= \frac{1}{x} + C

Popular Examples

tangent of f(x)=(e^x)/x ,(1,e)tangent of

f (x) = \frac{e ^{x}}{x}, (1, e)

derivative of (x^2-6x+5/(x^2+7))

\frac{d}{d x} (\frac{x ^{2} - 6 x + 5}{x ^{2} + 7})

integral from 0 to 3 of (3x^2+x-2)

\int_{0}^{3} (3 x^{2} + x - 2) d x

integral of sqrt(x^3)+\sqrt[3]{x^2}

y^{''}-4y^'+4y=5t^{-1}e^{2t}

y^{^{''}} - 4 y^{^{'}} + 4 y = 5 t^{- 1} e^{2 t}

Frequently Asked Questions (FAQ)

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