What is the integral of 1/(x^4)*x^5e^x ?

The integral of 1/(x^4)*x^5e^x 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 1/(x^4)*x^5e^x

\int \frac{1}{x ^{4}} \cdot x^{5} e^{x} d x

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

Solution steps

\int \frac{1}{x ^{4}} x^{5} e^{x} d x

Simplify

\frac{1}{x ^{4}} x^{5} e^{x} : e^{x} 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}

Add a constant to the solution

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

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

\frac{d}{d x} (e^{x^{2} + 6})

x \to 1 lim (+ (x))

x \to - 6 lim (\frac{x + 7}{x + 6})

y^{^{'}} = - (2 x + ln (y)) (\frac{y}{x})

What is the integral of 1/(x^4)*x^5e^x ?
The integral of 1/(x^4)*x^5e^x is e^xx-e^x+C