What is the integral of 4sqrt(x)+10 ?

The integral of 4sqrt(x)+10 is 8/3 x^{3/2}+10x+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 4sqrt(x)+10

\int 4 x + 10 d x

\frac{8}{3} x^{\frac{3}{2}} + 10 x + C

Solution steps

\int 4 x + 10 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 4 x d x + \int 10 d x

\int 4 x d x = \frac{8}{3} x^{\frac{3}{2}}

\int 10 d x = 10 x

= \frac{8}{3} x^{\frac{3}{2}} + 10 x

Add a constant to the solution

= \frac{8}{3} x^{\frac{3}{2}} + 10 x + C

\int sin (4 π) t d t

\int \frac{( ln ( x ) )}{x} d x

\int 3^{x} (1 - 2^{x}) d x

\int \frac{x ^{2}}{2 !} d x

\int 3 x^{5} x^{- \frac{4}{3}} (x^{3} - 1) d x

What is the integral of 4sqrt(x)+10 ?
The integral of 4sqrt(x)+10 is 8/3 x^{3/2}+10x+C