en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of 1-e^{2t}

Solution

\int 1 - e^{2 t} d t

Solution

t - \frac{1}{2} e^{2 t} + C

Solution steps

\int 1 - e^{2 t} 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 1 d t - \int e^{2 t} d t

\int 1 d t = t

\int e^{2 t} d t = \frac{1}{2} e^{2 t}

= t - \frac{1}{2} e^{2 t}

Add a constant to the solution

= t - \frac{1}{2} e^{2 t} + C

Graph

Popular Examples

integral of 2x^2-x+1

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

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

integral of 2xsin(-4x+3)

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

Frequently Asked Questions (FAQ)

What is the integral of 1-e^{2t} ?
The integral of 1-e^{2t} is t-1/2 e^{2t}+C