en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of t^2-2t-8

Solution

\int t^{2} - 2 t - 8 d t

Solution

\frac{t ^{3}}{3} - t^{2} - 8 t + C

Solution steps

\int t^{2} - 2 t - 8 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 2 t d t - \int 8 d t

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

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

\int 8 d t = 8 t

= \frac{t ^{3}}{3} - t^{2} - 8 t

Add a constant to the solution

= \frac{t ^{3}}{3} - t^{2} - 8 t + C

Graph

Popular Examples

integral of (x^2+1)^{50}*2x

integral of (x-1)/(x^3+x^2-4x-4)

integral of (sec^2(2x))

integral of xsqrt(4x^2-1)

integral of e^{x/(20)}

Frequently Asked Questions (FAQ)

What is the integral of t^2-2t-8 ?
The integral of t^2-2t-8 is (t^3)/3-t^2-8t+C