Integrate this pleasee...

Can you use your knowledge of indices to write 3/x^2 in a way you can integrate it?

Reply 4

Original post by wanderlust.xx

f

do you need so that when you differentiate

f

you get the expression in the integral?

Spoiler

eek you've lost me!! are we doing this on AS terms??
i'm confused as to what to do with the second bit of it cos wouldnt you get like
3/x^3/3?? :s-smilie:

Reply 5

Read my post stephie.

Reply 6

Original post by Mr M

Read my post stephie.

well is 3 the same as 3x^0??
so 3/x^2 = 3x^-2??

Reply 7

Original post by stephie.u3

well is 3 the same as 3x^0??
so 3/x^2 = 3x^-2??

That is correct.

Now integrate term by term (add one to the power and divide by the new power).

Reply 8

Nima944

Can you integrate - 3x^-2 ?

Reply 9

Lazy Gun

http://www.wolframalpha.com/input/?i=integrate+%28x-%283%2Fx^2%29%29

Click "Show Steps".

Reply 10

Original post by Mr M

That is correct.

Now integrate term by term (add one to the power and divide by the new power).

3x^-2 --> (3x^-1)/-1 ??

Reply 11

Original post by stephie.u3

3x^-2 --> (3x^-1)/-1 ??

yes, don't forget there was another term in the original question and there will be a constant of integration too

Reply 12

goodnightvienna

Original post by Nima944

Can you integrate - 3x^-2 ?

3x^-1 + c

can't tell if that first dash is a minus sign or not

Reply 13

Original post by Mr M

yes, don't forget there was another term in the original question and there will be a constant of integration too

wow thankyouu...i hadnt even thought of looking at it that way!! genius :biggrin:

Reply 14

Original post by stephie.u3

wow thankyouu...i hadnt even thought of looking at it that way!! genius :biggrin:

This is one of the reasons why you spent time getting to grips with indices in Core 1.

Reply 15