What is the integral of-e^xx ?

The integral of-e^xx is -e^xx+e^x+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of-e^xx

\int - e^{x} x d x

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

Solution steps

\int - e^{x} x d x

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

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

Apply Integration By Parts

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

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

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

= - (e^{x} x - e^{x})

Simplify

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

Add a constant to the solution

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

\int \frac{36}{1 + 36 x ^{2}} d x

y^{^{'}} = 1 - 2 y

f (x) = \frac{x}{1 - ln ( x - 4 )}

f (x) = (1 + 3 x) (5 - 4 x), at x = 1

\frac{d}{d x} (a cos (a x))