en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of e^2x-1

Solution

integral

e^{2} x - 1

Solution

\frac{e ^{2} x ^{2}}{2} - x + C

Solution steps

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

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int e^{2} x d x - \int 1 d x

\int e^{2} x d x = \frac{e ^{2} x ^{2}}{2}

\int 1 d x = x

= \frac{e ^{2} x ^{2}}{2} - x

Add a constant to the solution

= \frac{e ^{2} x ^{2}}{2} - x + C

Popular Examples

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

(\frac{1}{x - 1})^{\frac{- 1}{2}}

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

\frac{x}{( x ^{2} - 1 ) ^{\frac{1}{2}}}

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

\frac{1}{( x ^{3} + x ^{2} + x + 1 )}

integral of sqrt((1-x)^2)integral

(1 - x)^{2}

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

\frac{x ^{2}}{( x + 2 ) ^{3}}

Frequently Asked Questions (FAQ)

What is the integral of e^2x-1 ?
The integral of e^2x-1 is (e^2x^2)/2-x+C