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Popular >

integral of-4/(x^2)

Solution

\int - \frac{4}{x ^{2}} d x

Solution

\frac{4}{x} + C

Solution steps

\int - \frac{4}{x ^{2}} d x

Take the constant out:

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

= - 4 \cdot \int \frac{1}{x ^{2}} d x

Apply the Power Rule

: - \frac{1}{x}

= - 4 (- \frac{1}{x})

Simplify

- 4 (- \frac{1}{x}) : \frac{4}{x}

= \frac{4}{x}

Add a constant to the solution

= \frac{4}{x} + C

Popular Examples

(dy)/(dx)= y/(y^2),y(0)=2

\frac{d y}{d x} = \frac{y}{y ^{2}}, y (0) = 2

sum from n=1 to infinity of 1/(2+sin(n))

n = 1 \sum \infty \frac{1}{2 + sin ( n )}

derivative of e^{14x}

\frac{d}{d x} (e^{14 x})

integral of (x^2)/(\sqrt[3]{1+2x)}

derivative of (x-2^2)

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

Frequently Asked Questions (FAQ)

What is the integral of-4/(x^2) ?
The integral of-4/(x^2) is 4/x+C