What is the integral of 5-sqrt(x) ?

The integral of 5-sqrt(x) is 5x-2/3 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 5-sqrt(x)

\int 5 - x d x

5 x - \frac{2}{3} x^{\frac{3}{2}} + C

Solution steps

\int 5 - 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 5 d x - \int x d x

\int 5 d x = 5 x

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

= 5 x - \frac{2}{3} x^{\frac{3}{2}}

Add a constant to the solution

= 5 x - \frac{2}{3} x^{\frac{3}{2}} + C

\int \frac{tan ( x )}{sec ^{3} ( x )} d x

\int \frac{x ^{4} + x ^{2} - 1}{x ^{3} + x} d x

\int sin (2 x) sec (2 x) d x

\int (6 x^{\frac{3}{2}} + 5 x^{- 2}) d x

What is the integral of 5-sqrt(x) ?
The integral of 5-sqrt(x) is 5x-2/3 x^{3/2}+C