What is the integral from 1 to 4 of 5sqrt(x) ?

The integral from 1 to 4 of 5sqrt(x) is 70/3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 1 to 4 of 5sqrt(x)

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

\frac{70}{3}

Decimal

23.33333 \dots

Solution steps

\int_{1}^{4} 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_{1}^{4} x d x

Apply the Power Rule

: [\frac{2}{3} x^{\frac{3}{2}}]_{1}^{4}

= 5 [\frac{2}{3} x^{\frac{3}{2}}]_{1}^{4}

Compute the boundaries:

\frac{14}{3}

= 5 \cdot \frac{14}{3}

Simplify

= \frac{70}{3}

\int_{2}^{9} (3 x + 5) d x

\int_{0}^{x} (cos (x) - sin (y)) d y

\int_{- 1}^{l n (2)} \frac{3 t}{e ^{t}} d t

\int_{\frac{1}{2}}^{1} (x^{- 3} - 22) d x

\int_{- 2}^{1} (1 + 2 y^{2}) d y

What is the integral from 1 to 4 of 5sqrt(x) ?
The integral from 1 to 4 of 5sqrt(x) is 70/3