What is the integral of (e^{3ln(x)})/x ?

The integral of (e^{3ln(x)})/x is (x^3)/3+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (e^{3ln(x)})/x

\int \frac{e ^{3 l n (x)}}{x} d x

\frac{x ^{3}}{3} + C

Solution steps

\int \frac{e ^{3 l n (x)}}{x} d x

Simplify

\frac{e ^{3 l n (x)}}{x} : x^{2}

= \int x^{2} d x

Apply the Power Rule

: \frac{x ^{3}}{3}

= \frac{x ^{3}}{3}

Add a constant to the solution

= \frac{x ^{3}}{3} + C

\int \frac{4 x ^{3}}{x ^{2} + 4} d x

\int \frac{( arctan ( 5 x ) )}{1 + 25 x ^{2}} d x

\int (12 x^{2} e^{- 4 x y} - 5 x + 1) d y

\int x^{2} + 36 d x

\int \frac{x}{( ln ( x ) ) ^{2}} d x

What is the integral of (e^{3ln(x)})/x ?
The integral of (e^{3ln(x)})/x is (x^3)/3+C