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Popular >

integral of 4/(x^2)

Solution

integral

\frac{4}{x ^{2}}

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

integral of-0.056e^{-0.025x}

\int - 0.056 e^{- 0.025 x} d x

integral of 5/(4x^2+9)

\int \frac{5}{4 x ^{2} + 9} d x

integral of (3e^x)/(2-e^x)

\int \frac{3 e ^{x}}{2 - e ^{x}} d x

integral of 3e^{-t}sin(t)

\int 3 e^{- t} sin (t) d t

integral of x^2*ln(x^3)

\int x^{2} \cdot ln (x^{3}) d x

Frequently Asked Questions (FAQ)

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