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# A2 Maths integration help

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1. I've been doing some differential equations, but I'm having a bit of trouble with some if the integration involved

How do you integrate these?:

1/(square root of) 1+ 2y
1/-2(square root of)y

Thank you!
2. (Original post by EmJ15)
I've been doing some differential equations, but I'm having a bit of trouble with some if the integration involved

How do you integrate these?:

1/(square root of) 1+ 2y
1/-2(square root of)y

Thank you!
Indices rule:

The first one is now use the 'reverse chain rule' on that.

The second one is then do your usual add one to the power and divide by the new power.
3. Well, since square roots are involved, I imagine you'd be looking at using a substitution along the lines of u = 1+ 2y! Try that and see if it gets you anywhere

EDIT: Okay Zacken is here never mind he's right haha
4. The first one can be done by inspection- note that which is the required integral
5. (Original post by Zacken)
Indices rule:

The first one is now use the 'reverse chain rule' on that.

The second one is then do your usual add one to the power and divide by the new power.
(Original post by Don Pedro K.)
Well, since square roots are involved, I imagine you'd be looking at using a substitution along the lines of u = 1+ 2y! Try that and see if it gets you anywhere

EDIT: Okay Zacken is here never mind he's right haha
ffs I literally cant type fast enough XD
6. (Original post by Zacken)
Indices rule:

The first one is now use the 'reverse chain rule' on that.

The second one is then do your usual add one to the power and divide by the new power.
Thank so much, that has helped loads. Could I just ask you 1 question though, what is reverse chain rule and is there a particular scenario when you use it? Sorry, it's just that I don't think we've covered it in school. It's not in the book we use anyway. Thank you!
7. (Original post by Don Pedro K.)
Well, since square roots are involved, I imagine you'd be looking at using a substitution along the lines of u = 1+ 2y! Try that and see if it gets you anywhere

EDIT: Okay Zacken is here never mind he's right haha
Haha, thanks anyway!
8. (Original post by EmJ15)
Thank so much, that has helped loads. Could I just ask you 1 question though, what is reverse chain rule and is there a particular scenario when you use it? Sorry, it's just that I don't think we've covered it in school. It's not in the book we use anyway. Thank you!
It's basically this:

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