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

The integral of (-2/(x^3)) is 1/(x^2)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

\frac{1}{x ^{2}} + C

Solution steps

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

Take the constant out:

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

= - 2 \cdot \int \frac{1}{x ^{3}} d x

Apply the Power Rule

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

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

Simplify

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

= \frac{1}{x ^{2}}

Add a constant to the solution

= \frac{1}{x ^{2}} + C

\int x e^{- x - 1} d x

\int \frac{sin ( θ )}{cos ^{4} ( θ )} d θ

\int e^{3 a x} d x

\int - 5 cot^{3} (x) csc^{5} (x) d x

\int x^{2} (2 x^{3} - 3)^{4} d x