en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

integral of (3x^3)/2

Solution

integral

\frac{3 x ^{3}}{2}

Solution

\frac{3 x ^{4}}{8} + C

Solution steps

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

Take the constant out:

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

= \frac{3}{2} \cdot \int x^{3} d x

Apply the Power Rule

= \frac{3}{2} \cdot \frac{x ^{4}}{4}

Simplify

\frac{3}{2} \cdot \frac{x ^{4}}{4} : \frac{3 x ^{4}}{8}

= \frac{3 x ^{4}}{8}

Add a constant to the solution

= \frac{3 x ^{4}}{8} + C

Graph

Popular Examples

integral of 1/((1+x^{1/2))}

integral of 1/(x^4-1)

integral of (t^3)/2

integral of ((1+x)^3)/(x^2)

integral of x*3^x

Frequently Asked Questions (FAQ)

What is the integral of (3x^3)/2 ?
The integral of (3x^3)/2 is (3x^4)/8+C