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

Solution

integral

t + 2

Solution

\frac{t ^{2}}{2} + 2 t + C

Solution steps

\int t + 2 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 d t + \int 2 d t

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

\int 2 d t = 2 t

= \frac{t ^{2}}{2} + 2 t

Add a constant to the solution

= \frac{t ^{2}}{2} + 2 t + C

Graph

Popular Examples

integral of x^3-2x+5

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

integral of (cos^2(x))/((1+sin^2(x)))

integral of (200)/(x^3)

integral of-5x^2

Frequently Asked Questions (FAQ)

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