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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

limit as x approaches-infinity of (x)^2

x \to - \infty lim ((x)^{2})

integral of \sqrt[3]{8-7x^2}(-14x)

integral of sqrt(37)

\int 37

derivative of g(x)=3x^4 derivative of

g (x) = 3 x^{4}

tangent of f(x)= 3/x ,(5, 3/5)tangent of

f (x) = \frac{3}{x}, (5, \frac{3}{5})

Frequently Asked Questions (FAQ)

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