en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of x^2+3x-2

Solution

\int x^{2} + 3 x - 2 d x

Solution

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

Solution steps

\int x^{2} + 3 x - 2 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^{2} d x + \int 3 x d x - \int 2 d x

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

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

\int 2 d x = 2 x

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

Add a constant to the solution

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

Popular Examples

derivative of (pit)/2 derivative of

\frac{π t}{2}

limit as h approaches 1/2 of (4h^2+4h-3)/(2h-1)

h \to \frac{1}{2} lim (\frac{4 h ^{2} + 4 h - 3}{2 h - 1})

(\partial)/(\partial x)(x^{3/4}y^3)

\frac{\partial}{\partial x} (x^{\frac{3}{4}} y^{3})

derivative of (x^4+x-7(2x^3+1))

\frac{d}{d x} ((x^{4} + x - 7) (2 x^{3} + 1))

limit as x approaches 0-of x^2-2ln(x)

x \to 0 - lim (x^{2} - 2 ln (x))

Frequently Asked Questions (FAQ)

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