What is the integral from 1 to 9 of 3x^2 ?

The integral from 1 to 9 of 3x^2 is 728

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 1 to 9 of 3x^2

\int_{1}^{9} 3 x^{2} d x

728

Solution steps

\int_{1}^{9} 3 x^{2} d x

Take the constant out:

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

= 3 \cdot \int_{1}^{9} x^{2} d x

Apply the Power Rule

: [\frac{x ^{3}}{3}]_{1}^{9}

= 3 [\frac{x ^{3}}{3}]_{1}^{9}

Compute the boundaries:

\frac{728}{3}

= 3 \cdot \frac{728}{3}

Simplify

= 728

\int_{0}^{2} \frac{3}{8} x^{4} d x

\int_{x}^{5} sin (t^{4}) d t

\int_{0}^{\frac{π}{2}} sin (x^{3}) d x

\int_{0}^{4} x (x^{2} + 2)^{2} d x

\int_{- 1}^{2} 4 - 2 x^{2} + 2 x d x

What is the integral from 1 to 9 of 3x^2 ?
The integral from 1 to 9 of 3x^2 is 728