What is the integral of-3*sqrt(x)+2x ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of-3*sqrt(x)+2x

\int - 3 \cdot x + 2 x d x

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

Solution steps

\int - 3 x + 2 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 3 x d x + \int 2 x d x

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

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

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

Add a constant to the solution

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

\int \frac{x ^{2}}{x ^{2} - 4} d x

\frac{- 5}{x ^{5}}

- 3 x^{2} y + y^{^{'}} = - 5 x^{2}

y = 2 (x + 1), y = 3 (x + 1), x = 3

\int_{1}^{4} 3 \frac{ln ( x )}{x ^{2}} d x

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