What is the integral of 12x^{5/7}+7x^{-6/7} ?

The integral of 12x^{5/7}+7x^{-6/7} is 7x^{12/7}+49x^{1/7}+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 12x^{5/7}+7x^{-6/7}

\int 12 x^{\frac{5}{7}} + 7 x^{- \frac{6}{7}} d x

7 x^{\frac{12}{7}} + 49 x^{\frac{1}{7}} + C

Solution steps

\int 12 x^{\frac{5}{7}} + 7 x^{- \frac{6}{7}} 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^{\frac{5}{7}} d x + \int 7 x^{- \frac{6}{7}} d x

\int 12 x^{\frac{5}{7}} d x = 7 x^{\frac{12}{7}}

\int 7 x^{- \frac{6}{7}} d x = 49 x^{\frac{1}{7}}

= 7 x^{\frac{12}{7}} + 49 x^{\frac{1}{7}}

Add a constant to the solution

= 7 x^{\frac{12}{7}} + 49 x^{\frac{1}{7}} + C

y^{^{'}} = \frac{( 3 x ^{2} + y ^{2} )}{x y}

\int co x d x

\int_{1}^{16} \frac{x}{x} d x

y^{^{'}} = (x - 3) e^{- 2 y}

- \frac{4}{( 5 ) ^{3}}

What is the integral of 12x^{5/7}+7x^{-6/7} ?
The integral of 12x^{5/7}+7x^{-6/7} is 7x^{12/7}+49x^{1/7}+C