What is the integral of 15sqrt(x)+3/(sqrt(x)) ?

The integral of 15sqrt(x)+3/(sqrt(x)) is 10x^{3/2}+6sqrt(x)+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 15sqrt(x)+3/(sqrt(x))

\int 15 x + \frac{3}{x} d x

10 x^{\frac{3}{2}} + 6 x + C

Solution steps

\int 15 x + \frac{3}{x} 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 15 x d x + \int \frac{3}{x} d x

\int 15 x d x = 10 x^{\frac{3}{2}}

\int \frac{3}{x} d x = 6 x

= 10 x^{\frac{3}{2}} + 6 x

Add a constant to the solution

= 10 x^{\frac{3}{2}} + 6 x + C

y = x^{2} + 2 x + 1

x \frac{d y}{d x} = y^{2} + 1

\int (\frac{1}{4 + x ^{2}}) d x

(\frac{x ^{2}}{x ^{2} - x - 2})^{^{'}}

\frac{2 s - 3}{( s + 4 ) ( s - 3 ) ^{3}}

What is the integral of 15sqrt(x)+3/(sqrt(x)) ?
The integral of 15sqrt(x)+3/(sqrt(x)) is 10x^{3/2}+6sqrt(x)+C