What is the integral of (7x+3)/(sqrt(x)) ?

The integral of (7x+3)/(sqrt(x)) is 2sqrt(x)(7x+3)-28/3 x^{3/2}+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (7x+3)/(sqrt(x))

\int \frac{7 x + 3}{x} d x

2 x (7 x + 3) - \frac{28}{3} x^{\frac{3}{2}} + C

Solution steps

\int \frac{7 x + 3}{x} d x

Apply Integration By Parts

: 2 x (7 x + 3) - \int 14 x d x

= 2 x (7 x + 3) - \int 14 x d x

\int 14 x d x = \frac{28}{3} x^{\frac{3}{2}}

= 2 x (7 x + 3) - \frac{28}{3} x^{\frac{3}{2}}

Add a constant to the solution

= 2 x (7 x + 3) - \frac{28}{3} x^{\frac{3}{2}} + C

x \to \infty lim (x^{4})

cos (k t)

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

\int \frac{1}{2 x} + \frac{6}{x ^{3}} - 7 x d x

\frac{\partial}{\partial x} (6 - 2 x)

What is the integral of (7x+3)/(sqrt(x)) ?
The integral of (7x+3)/(sqrt(x)) is 2sqrt(x)(7x+3)-28/3 x^{3/2}+C