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

The integral of e^{ln(x^2)} is (x^3)/3+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

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

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

Solution steps

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

Apply log rule:

a^{l o g_{a} (b)} = b

= \int x^{2} d x

Apply the Power Rule

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

Add a constant to the solution

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