What is the integral of e^{ln(x)+x} ?

The integral of e^{ln(x)+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 e^{ln(x)+x}

\int e^{l n (x) + x} d x

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

Solution steps

\int e^{l n (x) + x} d x

Simplify

e^{l n (x) + 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 [1 + sin^{2} (θ) csc (θ)] d θ

\int 6 x sin (3 x^{2}) d x

\int x^{2} 5 + 2 x^{3} d x

\int 4 x x - 9 d x

\int \frac{sin ( 2 x )}{5 + cos ( 2 x )} d x