What is the integral from 3 to 4 of 2x^2 ?

The integral from 3 to 4 of 2x^2 is 74/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 3 to 4 of 2x^2

\int_{3}^{4} 2 x^{2} d x

\frac{74}{3}

Decimal Notation

24.66666 \dots

Solution steps

\int_{3}^{4} 2 x^{2} d x

Take the constant out:

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

= 2 \cdot \int_{3}^{4} x^{2} d x

Apply the Power Rule

: [\frac{x ^{3}}{3}]_{3}^{4}

= 2 [\frac{x ^{3}}{3}]_{3}^{4}

Compute the boundaries:

\frac{37}{3}

= 2 \cdot \frac{37}{3}

Simplify

= \frac{74}{3}

\int_{- 1}^{1} 3 x^{5} ∣ x ∣ d x

\int_{0}^{1} \frac{1}{100 + x ^{2}} d x

\int_{1}^{16} 2 x^{- \frac{3}{2}} d x

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

\int_{1}^{4} \frac{1}{6 x} d x

What is the integral from 3 to 4 of 2x^2 ?
The integral from 3 to 4 of 2x^2 is 74/3