What is the integral of sqrt(x)-2cos(x) ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of sqrt(x)-2cos(x)

\int x - 2 cos (x) d x

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

Solution steps

\int x - 2 cos (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 x d x - \int 2 cos (x) d x

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

\int 2 cos (x) d x = 2 sin (x)

= \frac{2}{3} x^{\frac{3}{2}} - 2 sin (x)

Add a constant to the solution

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

\frac{d}{d x} (- \frac{x ^{3}}{y ^{3}})

\frac{d}{d x} (\frac{27}{x})

12 x

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

\frac{d}{d x} (3 π x)

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