en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of-3/(x^3)

Solution

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

Solution

\frac{3}{2 x ^{2}} + C

Solution steps

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

Take the constant out:

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

= - 3 \cdot \int \frac{1}{x ^{3}} d x

Apply the Power Rule

: - \frac{1}{2 x ^{2}}

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

Simplify

- 3 (- \frac{1}{2 x ^{2}}) : \frac{3}{2 x ^{2}}

= \frac{3}{2 x ^{2}}

Add a constant to the solution

= \frac{3}{2 x ^{2}} + C

Popular Examples

derivative of arcsin(x^2-3)

\frac{d}{d x} (arcsin (x^{2} - 3))

integral of 2/((1-x^2)^{3/2)}

\int \frac{2}{( 1 - x ^{2} ) ^{\frac{3}{2}}} d x

inverse oflaplace 1/((s*(s+1)))inverse laplace

\frac{1}{( s \cdot ( s + 1 ) )}

integral of (x^2)/(16+9x^2)

\int \frac{x ^{2}}{16 + 9 x ^{2}} d x

integral from 1 to 2 of 2x-x^2

\int_{1}^{2} 2 x - x^{2} d x

Frequently Asked Questions (FAQ)

What is the integral of-3/(x^3) ?
The integral of-3/(x^3) is 3/(2x^2)+C