en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

area y= 5/2-1/x ,y=x

Solution

area

y = \frac{5}{2} - \frac{1}{x}, y = x

Solution

- 2 ln (2) + \frac{15}{8}

+1

Solution steps

Apply the area formula:

\int_{\frac{1}{2}}^{2} \frac{5}{2} - \frac{1}{x} - x d x

Solve

\int_{\frac{1}{2}}^{2} \frac{5}{2} - \frac{1}{x} - x d x : - 2 ln (2) + \frac{15}{8}

The area is:

= - 2 ln (2) + \frac{15}{8}

Popular Examples

integral from 0 to 1 of 6(1+sqrt(x))^4

\int_{0}^{1} 6 (1 + x)^{4} d x

integral of 1/(sqrt(x+3)-1)

\int \frac{1}{x + 3 - 1} d x

integral of sin(x)+C

\int sin (x) + C d x

integral of e^{8+x}

\int e^{8 + x} d x

integral from 1 to 3 of (2x^2-3x+5)

\int_{1}^{3} (2 x^{2} - 3 x + 5) d x

Frequently Asked Questions (FAQ)

What is area y= 5/2-1/x ,y=x ?
The answer to area y= 5/2-1/x ,y=x is -2ln(2)+15/8