What is area y= 1/x ,y= 1/(x^2),x=5 ?

The answer to area y= 1/x ,y= 1/(x^2),x=5 is ln(5)-4/5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

area y= 1/x ,y= 1/(x^2),x=5

area

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

ln (5) - \frac{4}{5}

Decimal

0.80943 \dots

Solution steps

Apply the area formula:

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

Solve

\int_{1}^{5} \frac{1}{x} - \frac{1}{x ^{2}} d x : ln (5) - \frac{4}{5}

The area is:

= ln (5) - \frac{4}{5}

What is area y= 1/x ,y= 1/(x^2),x=5 ?
The answer to area y= 1/x ,y= 1/(x^2),x=5 is ln(5)-4/5