en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 4t+0

Solution

\int 4 t + 0 d t

Solution

2 t^{2} + C

Solution steps

\int 4 t + 0 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 4 t d t + \int 0 d t

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

\int 0 d t = 0

= 2 t^{2} + 0

Simplify

= 2 t^{2}

Add a constant to the solution

= 2 t^{2} + C

Popular Examples

integral of (5x-4)^5

\int (5 x - 4)^{5} d x

integral of 1/(ln(x^3))

\int \frac{1}{ln ( x ^{3} )} d x

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

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

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

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

integral of x/(16-6x-x^2)

\int \frac{x}{16 - 6 x - x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral of 4t+0 ?
The integral of 4t+0 is 2t^2+C