What is the integral from 0 to 1 of 5sqrt(x) ?

The integral from 0 to 1 of 5sqrt(x) is 10/3

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 5sqrt(x)

\int_{0}^{1} 5 x d x

\frac{10}{3}

Decimal Notation

3.33333 \dots

Solution steps

\int_{0}^{1} 5 x d x

Take the constant out:

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

= 5 \cdot \int_{0}^{1} x d x

Apply the Power Rule

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

= 5 [\frac{2}{3} x^{\frac{3}{2}}]_{0}^{1}

Compute the boundaries:

\frac{2}{3}

= 5 \cdot \frac{2}{3}

Simplify

= \frac{10}{3}

\int_{0}^{\frac{π}{10}} cos^{2} (5 θ) d θ

\int_{1}^{3} 3 t^{2} - 12 t + 9 d t

\int_{0}^{2} 25 - 3 x d x

\int_{1}^{5} 5 x + 4 d x

\int_{0}^{2} (z^{4} - \frac{z ^{5}}{2}) d z

What is the integral from 0 to 1 of 5sqrt(x) ?
The integral from 0 to 1 of 5sqrt(x) is 10/3