en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 1/(7x^3)

Solution

\int \frac{1}{7 x ^{3}} d x

Solution

- \frac{1}{14 x ^{2}} + C

Solution steps

\int \frac{1}{7 x ^{3}} d x

Take the constant out:

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

= \frac{1}{7} \cdot \int \frac{1}{x ^{3}} d x

Apply the Power Rule

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

= \frac{1}{7} (- \frac{1}{2 x ^{2}})

Simplify

\frac{1}{7} (- \frac{1}{2 x ^{2}}) : - \frac{1}{14 x ^{2}}

= - \frac{1}{14 x ^{2}}

Add a constant to the solution

= - \frac{1}{14 x ^{2}} + C

Popular Examples

derivative of (7x+sqrt(x^2+3)^6)

\frac{d}{d x} ((7 x + x^{2} + 3)^{6})

parity (sin^5(e^{2x}))/(cos(7^{6x))}parity

\frac{sin ^{5} ( e ^{2 x} )}{cos ( 7 ^{6 x} )}

integral of 2x-3x^2

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

d/(dt)(cos(7t))

\frac{d}{d t} (cos (7 t))

integral of (2x^2+4)/((x^2-2x+2)^2)

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

Frequently Asked Questions (FAQ)

What is the integral of 1/(7x^3) ?
The integral of 1/(7x^3) is -1/(14x^2)+C