What is the integral of x^2e^{2ln(x)} ?

The integral of x^2e^{2ln(x)} is (x^5)/5+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of x^2e^{2ln(x)}

\int x^{2} e^{2 l n (x)} d x

\frac{x ^{5}}{5} + C

Solution steps

\int x^{2} e^{2 l n (x)} d x

Simplify

x^{2} e^{2 l n (x)} : x^{4}

= \int x^{4} d x

Apply the Power Rule

: \frac{x ^{5}}{5}

= \frac{x ^{5}}{5}

Add a constant to the solution

= \frac{x ^{5}}{5} + C

\int \frac{3}{2 sin ^{2} ( x ) + 5} d x

\int 9 (x^{2} + 1) (x^{3} + 3 x)^{3} d x

\int sin (8 x) cos (7 x) d x

\int cosh (2 x) sinh (2 x) d x

\int \frac{10 x}{4 x ^{2} + 8 x + 9} d x

What is the integral of x^2e^{2ln(x)} ?
The integral of x^2e^{2ln(x)} is (x^5)/5+C