en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of t^2-4

Solution

\int t^{2} - 4 d t

Solution

\frac{t ^{3}}{3} - 4 t + C

Solution steps

\int t^{2} - 4 d t

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int t^{2} d t - \int 4 d t

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

\int 4 d t = 4 t

= \frac{t ^{3}}{3} - 4 t

Add a constant to the solution

= \frac{t ^{3}}{3} - 4 t + C

Popular Examples

derivative of x+x^3

\frac{d}{d x} (x + x^{3})

derivative of 2sqrt(x)+1/(3x^3)

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

taylor x+(x^3)/3-tan(x)taylor

x + \frac{x ^{3}}{3} - tan (x)

limit as x approaches infinity of ((e^x+e^{-x}))/2

x \to \infty lim (\frac{( e ^{x} + e ^{- x} )}{2})

derivative of x^2arctan(2x)

\frac{d}{d x} (x^{2} arctan (2 x))

Frequently Asked Questions (FAQ)

What is the integral of t^2-4 ?
The integral of t^2-4 is (t^3)/3-4t+C