What is the integral of 10abcx^2 ?

The integral of 10abcx^2 is (10abcx^3)/3+C

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

integral of 10abcx^2

\int 10 ab c x^{2} d x

\frac{10 ab c x ^{3}}{3} + C

Solution steps

\int 10 ab c x^{2} d x

Take the constant out:

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

= 10 ab c \cdot \int x^{2} d x

Apply the Power Rule

= 10 ab c \frac{x ^{3}}{3}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{10 ab c x ^{3}}{3}

Add a constant to the solution

= \frac{10 ab c x ^{3}}{3} + C