What is the integral of 12x^{11}-(11)/(x^{11)} ?

The integral of 12x^{11}-(11)/(x^{11)} is x^{12}+(11)/(10x^{10)}+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 12x^{11}-(11)/(x^{11)}

\int 12 x^{11} - \frac{11}{x ^{11}} d x

x^{12} + \frac{11}{10 x ^{10}} + C

Solution steps

\int 12 x^{11} - \frac{11}{x ^{11}} 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 12 x^{11} d x - \int \frac{11}{x ^{11}} d x

\int 12 x^{11} d x = x^{12}

\int \frac{11}{x ^{11}} d x = - \frac{11}{10 x ^{10}}

= x^{12} - (- \frac{11}{10 x ^{10}})

Simplify

= x^{12} + \frac{11}{10 x ^{10}}

Add a constant to the solution

= x^{12} + \frac{11}{10 x ^{10}} + C

\int \frac{cos ( ln ( y ) )}{y} d y

\int 2 e^{5 x - 1} d x

\int x^{9} ln (8 x^{5}) d x

\int 20 x 10 x + 2 d x

\int x^{2} ln (1 + x^{2}) d x

What is the integral of 12x^{11}-(11)/(x^{11)} ?
The integral of 12x^{11}-(11)/(x^{11)} is x^{12}+(11)/(10x^{10)}+C