What is the integral of (7x^6-6/(x^6)) ?

The integral of (7x^6-6/(x^6)) is x^7+6/(5x^5)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (7x^6-6/(x^6))

\int (7 x^{6} - \frac{6}{x ^{6}}) d x

x^{7} + \frac{6}{5 x ^{5}} + C

Solution steps

\int 7 x^{6} - \frac{6}{x ^{6}} d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 7 x^{6} d x - \int \frac{6}{x ^{6}} d x

\int 7 x^{6} d x = x^{7}

\int \frac{6}{x ^{6}} d x = - \frac{6}{5 x ^{5}}

= x^{7} - (- \frac{6}{5 x ^{5}})

Simplify

= x^{7} + \frac{6}{5 x ^{5}}

Add a constant to the solution

= x^{7} + \frac{6}{5 x ^{5}} + C

\int x^{2} - 3 x + 8 d x

(- 7, - 6), (10, 8)

(3 x - 10)^{\frac{4}{3}}

\frac{\partial}{\partial x} (1 + x^{4} + y^{4})

y^{^{'}} = - y^{3}, y (0) = - 2

What is the integral of (7x^6-6/(x^6)) ?
The integral of (7x^6-6/(x^6)) is x^7+6/(5x^5)+C