What is the integral of 1/(10x^7) ?

The integral of 1/(10x^7) is -1/(60x^6)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 1/(10x^7)

\int \frac{1}{10 x ^{7}} d x

- \frac{1}{60 x ^{6}} + C

Solution steps

\int \frac{1}{10 x ^{7}} d x

Take the constant out:

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

= \frac{1}{10} \cdot \int \frac{1}{x ^{7}} d x

Apply the Power Rule

: - \frac{1}{6 x ^{6}}

= \frac{1}{10} (- \frac{1}{6 x ^{6}})

Simplify

\frac{1}{10} (- \frac{1}{6 x ^{6}}) : - \frac{1}{60 x ^{6}}

= - \frac{1}{60 x ^{6}}

Add a constant to the solution

= - \frac{1}{60 x ^{6}} + C

y^{'} = y (3 - y)

\int (cos (y) sin (x)) d y

\int \frac{9 sec ^{2} ( x )}{tan ( x )} d x

x \to 2 lim (x + x)

\int \frac{π x ^{4}}{16} d x