Integration Question (1 Viewer)

[Mattlimey]

I need Help!

Q: Find the area enclosed between the curve y= 1/x^2, the x-axis and the lines x= 1 and x= 3.

When I did this question my graph didn't look right when using a table. I know however you don't need to draw a graph for this question but I would just like to know what it looks like.

 

[Smile12345]

I need Help!

Q: Find the area enclosed between the curve y= 1/x^2, the x-axis and the lines x= 1 and x= 3.

When I did this question my graph didn't look right when using a table. I know however you don't need to draw a graph for this question but I would just like to know what it looks like.

Check your pm...

 

[HeroicPandas]

As x approaches 0 from the positive end, y approached infinity. Since we cannot sub in 0 directly, you just sub in a very small number like 0.01

y = 1/(0.01)^2 = 1/[1/100]^2 = 100^2 = very big



As x approaches infinity, y would get really small and approach 0.

y = 1/(very big)^2 = 1/(very very big)^2 = very small



So when you graph it, it looks similar to y=1/x (FOR x > 0)