en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral of (12x^2)

Solution

\int (12 x^{2}) d x

Solution

4 x^{3} + C

Solution steps

\int 12 x^{2} d x

Take the constant out:

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

= 12 \cdot \int x^{2} d x

Apply the Power Rule

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

= 12 \cdot \frac{x ^{3}}{3}

Simplify

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

= 4 x^{3}

Add a constant to the solution

= 4 x^{3} + C

Graph

Popular Examples

integral of (tan(x))/((sin(x))^2)

\int \frac{tan ( x )}{( sin ( x ) ) ^{2}} d x

integral of 6x^{-4/5}

\int 6 x^{- \frac{4}{5}} d x

integral of \sqrt[3]{x^4+3}(x^3)

\int 3 x^{4} + 3 (x^{3}) d x

integral of (x^2+3x-5)ln(x)

\int (x^{2} + 3 x - 5) ln (x) d x

integral of cos(l)nx 1/x

\int cos (l) n x \frac{1}{x} d x

Frequently Asked Questions (FAQ)

What is the integral of (12x^2) ?
The integral of (12x^2) is 4x^3+C