What is the integral of e\sqrt[3]{x} ?

The integral of e\sqrt[3]{x} is e 3/4 x^{4/3}+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of e\sqrt[3]{x}

e \frac{3}{4} x^{\frac{4}{3}} + C

Solution steps

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

Apply the Power Rule

: \frac{3}{4} x^{\frac{4}{3}}

= e \frac{3}{4} x^{\frac{4}{3}}

Add a constant to the solution

= e \frac{3}{4} x^{\frac{4}{3}} + C

\int \frac{1}{y ^{3} - 4 y} d y

\int cos (5 x + 5) d x

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

\int x^{11} ln (2 x^{6}) d x

\int p (p + 1)^{4} d p

What is the integral of e\sqrt[3]{x} ?
The integral of e\sqrt[3]{x} is e 3/4 x^{4/3}+C