What is the integral from 0 to 1 of 3x ?

The integral from 0 to 1 of 3x is 3/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 0 to 1 of 3x

\int_{0}^{1} 3 x d x

\frac{3}{2}

Decimal Notation

1.5

Solution steps

\int_{0}^{1} 3 x d x

Take the constant out:

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

= 3 \cdot \int_{0}^{1} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{0}^{1}

= 3 [\frac{x ^{2}}{2}]_{0}^{1}

Compute the boundaries:

\frac{1}{2}

= 3 \cdot \frac{1}{2}

Simplify

= \frac{3}{2}

x y^{^{'}} = x - y

(x - 1)^{2}, x + 1

y = (t + 3) in (t)

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

\int 1 - 1 d x