en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of e^x-3

Solution

\int e^{x} - 3 d x

Solution

e^{x} - 3 x + C

Solution steps

\int e^{x} - 3 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^{x} d x - \int 3 d x

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

\int 3 d x = 3 x

= e^{x} - 3 x

Add a constant to the solution

= e^{x} - 3 x + C

Popular Examples

integral of a/(bx+c)

\int \frac{a}{b x + c} d x

integral of sqrt(11-81x^2)

\int 11 - 81 x^{2} d x

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

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

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

\int 3 (1 + tan^{2} (x)) d x

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

\int \frac{x ^{2} - x - 1}{x ( x + 2 ) ( x - 1 )} d x

Frequently Asked Questions (FAQ)

What is the integral of e^x-3 ?
The integral of e^x-3 is e^x-3x+C