en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of-(3x^2)/2

Solution

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

Solution

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

Solution steps

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

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

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

Apply the Power Rule

: \frac{x ^{3}}{3}

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

Simplify

- \frac{3}{2} \cdot \frac{x ^{3}}{3} : - \frac{x ^{3}}{2}

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

Add a constant to the solution

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

Graph

Popular Examples

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

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

derivative of x^{2/3}(x-4^2)

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

integral from 0 to 1 of x^3e^{-x^2}

\int_{0}^{1} x^{3} e^{- x^{2}} d x

d/(dt)(e^{8tsin(2t)})

\frac{d}{d t} (e^{8 t s i n (2 t)})

derivative of sqrt(10,0-40x-0.02x^2)

\frac{d}{d x} (10, 0 - 40 x - 0.02 x^{2})

Frequently Asked Questions (FAQ)

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