en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (2x-e^x)

Solution

\int (2 x - e^{x}) d x

Solution

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

Solution steps

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

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

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

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

Add a constant to the solution

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

Graph

Popular Examples

limit as x approaches 0 of (sin(10x))/(11x)

x \to 0 lim (\frac{sin ( 10 x )}{11 x})

(\partial)/(\partial y)(3xy+y^2)

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

derivative of y=e^x+x^2 derivative of

y = e^{x} + x^{2}

integral of (5e^x)/(e^{2x)+2e^x+1}

\int \frac{5 e ^{x}}{e ^{2 x} + 2 e ^{x} + 1} d x

slope of (-4,0),(1,-5)slope

(- 4, 0), (1, - 5)

Frequently Asked Questions (FAQ)

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