# Integrate e^y^2 . 2y dy

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Thread starter 6 years ago
#1
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Thread starter 6 years ago
#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

Your composition is from and

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

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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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