Logarithmic Integration to find area. (1 Viewer)

[MrBrightside]

Find the exact area between the curve y = 1/x, the x-axis and the lines y = x and x = 2 in the first quadrant.

Is it best to draw these first?

 

[slyhunter]

Is it that hard to draw them?

 

[SpiralFlex]

Yes! Draw it first.

This question involves the addition of the triangular area and the integral of

Your graph: http://www.mediafire.com/?wxqxtbj6w9q9tub


Solve for :





Since




So finding the area,

 

[Hermes1]

Yes! Draw it first.

This question involves the addition of the triangular area and the integration of

I will draw the graph here soon.

Solve for :









So finding the area,

this is the way to do it.

 

[MrBrightside]

ln and Log base e can be used interchangeably correct? It's what I've always been taught.

 

[SpiralFlex]

ln and Log base e can be used interchangeably correct? It's what I've always been taught.

Yes. But I use natural logs because it avoids ambiguity and limits the chances for silly mistakes. That's my preference anyway.

 

[MrBrightside]

Yes. But I use natural logs because it avoids ambiguity and limits the chances for silly mistakes. That's my preference anyway.

Same and its also quicker to write, saving exam a little amount of exam time.

 

[SpiralFlex]

Same and its also quicker to write, saving exam a little amount of exam time.

Okay good luck with studies and HSC. I shall be off to school.

 

[mangoz]

okay good luck with studies and hsc. I shall be off to school.

school? O:

 

[differential]

lol , "should I draw them" , it takes a whole 2seconds to draw them.

This close to hsc and you can't even do a basic question like that , you find it hard to graph basic lines, it's Q3 level , NO , Q1 a. level . No wonder you screwed up all your internal tests and your trial (and will majorly screw up the hsc exam! ).

I wanted to help you guys but you wanted to be a hero lols , u fail .

 

[MrBrightside]

lol , "should I draw them" , it takes a whole 2seconds to draw them.

This close to hsc and you can't even do a basic question like that , you find it hard to graph basic lines, it's Q3 level , NO , Q1 a. level . No wonder you screwed up all your internal tests and your trial (and will majorly screw up the hsc exam! ).

I wanted to help you guys but you wanted to be a hero lols , u fail .

ahaha it's easy, and yes 2 seconds I just needed a kick start.

 

[differential]

ahaha it's easy, and yes 2 seconds I just needed a kick start.

I will bet $10 000 you get less than 70 HSC mark (final mark) for maths.