en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of 3t-8

Solution

\int 3 t - 8 d t

Solution

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

Solution steps

\int 3 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 3 t d t - \int 8 d t

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

\int 8 d t = 8 t

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

Add a constant to the solution

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

Graph

Popular Examples

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

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

integral of x^3ln(5x^2)

integral of (5x-2)/(x(x-2))

integral of 5ln(2x)

Frequently Asked Questions (FAQ)

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