Sketch-the-region-enclosed-by-the-curves-of-y-1-x-and-y-1-x-2-and-find-the-area-of-the-region-plzz-help-me-

Question Number 35325 by Cheyboy last updated on 17/May/18

S k e t c h t h e r e g i o n e n c l o s e d b y t h e

c u r v e s o f y = 1 / x a n d y = 1 / x^{2} a n d

f i n d t h e a r e a o f t h e r e g i o n .

p l z z h e l p m e

Answered by MJS last updated on 17/May/18

we need the points of intersection

\frac{1}{x} = \frac{1}{x^{2}} \Rightarrow x \neq 0

x^{2} - x = 0

x (x - 1) = 0 \Rightarrow x = 1

so we have only one common point in R :

I_{1} = (\begin{matrix} 1 \\ 1 \end{matrix})

{there}^{'} s no such region

if we consider I_{2} = (\begin{matrix} \infty \\ 0 \end{matrix})

we can try to calculate

Missing \left or extra \right

= \infty + 0 - (0 + 1) = \infty

so no area exists

Commented by Cheyboy last updated on 18/May/18

T h a n k y o u v e r y m u c h s i r

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