# Integrate e^y^2 . 2y dy

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#1
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#2
(Original post by alow)
Do you mean this?

If so, use integration by parts.
No the e is y^2 not 2y

I've tried integration by parts but I just go round in circles
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6 years ago
#3
(Original post by chloeaj95)
No the e is y^2 not 2y

I've tried integration by parts but I just go round in circles
EDIT: Look at what ghostwalker said, I was being a bit blonde.
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6 years ago
#4
Are you sure e^y^2 can be integrated at all?
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6 years ago
#5
(Original post by chloeaj95)
Since you can't see it by recognition, use substitution.

Let

I presume it's
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6 years ago
#6
no if you substitute u = 2y then the integration by parts works fine...
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6 years ago
#7
(Original post by chloeaj95)
The derivative of using the chain rule is

Then the undetermined integral of is ...?

Generally when

then for composite

AS g'(y)=2y
THe type of this integral is
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6 years ago
#8
If we let , then using IBS, you get .
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6 years ago
#9
(Original post by chloeaj95)
Use substitution u = y^2. After a while you should be able to do this integral by recognition because it involves the exact derivative of a function.
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6 years ago
#10
(Original post by majmuh24)
If we let , then using IBS, you get .
I hope you mean IBP, otherwise the OP is in real trouble
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6 years ago
#11
Why are some people saying intergration by parts? This is a simple substitution question.
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6 years ago
#12
(Original post by davros)
I hope you mean IBP, otherwise the OP is in real trouble
I was lazy and couldn't be bothered to write the whole phrase, but that won't happen again

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6 years ago
#13
(Original post by james22)
Why are some people saying intergration by parts? This is a simple substitution question.
I think some people were confused by the lack of latex. It's either a straightforward substitution or recognition.
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6 years ago
#14
(Original post by davros)
I hope you mean IBP, otherwise the OP is in real trouble
IBS was correct that poster used substitution not parts
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6 years ago
#15
For anyone who needs it cleared up, I believe the OP meant

Posted from TSR Mobile
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6 years ago
#16
(Original post by james22)
Why are some people saying intergration by parts? This is a simple substitution question.
Not even substitution is needed, recognition (inverse chain rule)
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6 years ago
#17
I swear the answer is just

e^(y^2)

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6 years ago
#18
(Original post by TenOfThem)
IBS was correct that poster used substitution not parts
IBS = Irritable Bowel Syndrome

I've never seen it used as an abbreviation in mathematics
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6 years ago
#19
(Original post by L'Evil Fish)
I swear the answer is just

e^(y^2)

It is
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6 years ago
#20
(Original post by davros)
IBS = Irritable Bowel Syndrome
I agree

I've never seen it used as an abbreviation in mathematics
Me neither but it was more correct than IB in this case
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