What is the integral from 1 to 25 of sqrt(7/x) ?

The integral from 1 to 25 of sqrt(7/x) is 8sqrt(7)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

integral from 1 to 25 of sqrt(7/x)

\int_{1}^{25} \frac{7}{x} d x

87

Decimal

21.16601 \dots

Solution steps

\int_{1}^{25} \frac{7}{x} d x

Apply Integration By Parts

: [\frac{7}{x} x - \int - \frac{7}{2 x ^{\frac{1}{2}}} d x]_{1}^{25}

= [\frac{7}{x} x - \int - \frac{7}{2 x ^{\frac{1}{2}}} d x]_{1}^{25}

\int - \frac{7}{2 x ^{\frac{1}{2}}} d x = - 7 x

= [\frac{7}{x} x - (- 7 x)]_{1}^{25}

Simplify

= [\frac{7}{x} x + 7 x]_{1}^{25}

Compute the boundaries:

87

= 87

\int_{0}^{1} 4 t^{3} d t

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

\int_{0}^{x} 2 t cos (t) d t

\int_{0}^{1} 8 x e^{x} d x

\int_{- π}^{π} a sin (θ) d θ

What is the integral from 1 to 25 of sqrt(7/x) ?
The integral from 1 to 25 of sqrt(7/x) is 8sqrt(7)