What is the integral of (12sqrt(x)+sqrt(7)) ?

The integral of (12sqrt(x)+sqrt(7)) is 8x^{3/2}+sqrt(7)x+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (12sqrt(x)+sqrt(7))

\int (12 x + 7) d x

8 x^{\frac{3}{2}} + 7 x + C

Solution steps

\int 12 x + 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 d x + \int 7 d x

\int 12 x d x = 8 x^{\frac{3}{2}}

\int 7 d x = 7 x

= 8 x^{\frac{3}{2}} + 7 x

Add a constant to the solution

= 8 x^{\frac{3}{2}} + 7 x + C

x \to 4 lim (\frac{1}{x - 3})

- \frac{170 t}{( t + 4 ) ^{2}}

x \to 1 + lim (\frac{3}{1 - x})

\frac{d y}{d x} = 3 x + x y

9 y^{^{''}} + 12 y^{^{'}} + 4 y = 0

What is the integral of (12sqrt(x)+sqrt(7)) ?
The integral of (12sqrt(x)+sqrt(7)) is 8x^{3/2}+sqrt(7)x+C