en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 2x^2-3

Solution

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

Solution

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

Solution steps

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

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

\int 3 d x = 3 x

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

Add a constant to the solution

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

Graph

Popular Examples

derivative of y=(cos(4x))/(x^2)derivative of

y = \frac{cos ( 4 x )}{x ^{2}}

integral of-8x^2e^x

\int - 8 x^{2} e^{x} d x

derivative of x^{3/2}derivative of

x^{\frac{3}{2}}

limit as x approaches 3-of 9/((x-3)^5)

x \to 3 - lim (\frac{9}{( x - 3 ) ^{5}})

integral of (y-1)^{-2}

\int (y - 1)^{- 2} d y

Frequently Asked Questions (FAQ)

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