en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of 32x^3

Solution

\int 32 x^{3} d x

Solution

8 x^{4} + C

Solution steps

\int 32 x^{3} d x

Take the constant out:

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

= 32 \cdot \int x^{3} d x

Apply the Power Rule

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

= 32 \cdot \frac{x ^{4}}{4}

Simplify

32 \cdot \frac{x ^{4}}{4} : 8 x^{4}

= 8 x^{4}

Add a constant to the solution

= 8 x^{4} + C

Graph

Popular Examples

integral of ((28t^7-8)/t)

\int (\frac{28 t ^{7} - 8}{t}) d t

integral of (4-x^{2/3})^3

\int (4 - x^{\frac{2}{3}})^{3} d x

integral of 1/(sqrt(x)(\sqrt{x-2))^3}

\int \frac{1}{x ( x - 2 ) ^{3}} d x

integral of (tan(x)+sin(x))cos(x)

\int (tan (x) + sin (x)) cos (x) d x

integral of (6x-3)

\int (6 x - 3) d x

Frequently Asked Questions (FAQ)

What is the integral of 32x^3 ?
The integral of 32x^3 is 8x^4+C