What is the integral from 1/4 to 1/2 of 4x ?

The integral from 1/4 to 1/2 of 4x is 3/8

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 1/4 to 1/2 of 4x

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

\frac{3}{8}

Decimal Notation

0.375

Solution steps

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

Take the constant out:

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

= 4 \cdot \int_{\frac{1}{4}}^{\frac{1}{2}} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{\frac{1}{4}}^{\frac{1}{2}}

= 4 [\frac{x ^{2}}{2}]_{\frac{1}{4}}^{\frac{1}{2}}

Compute the boundaries:

\frac{3}{32}

= 4 \cdot \frac{3}{32}

Simplify

= \frac{3}{8}

\int_{0}^{2} \frac{1}{4} x^{3} d x

\int_{1}^{4} (2 - x) - (- x) d x

\int_{0}^{π} 8 cos (x) d x

\int_{0}^{1} π (1 - y) d y

\int_{4}^{9} x^{3} d x

What is the integral from 1/4 to 1/2 of 4x ?
The integral from 1/4 to 1/2 of 4x is 3/8