r7kytt
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Struggling on this, there’s no solutions for it too
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mqb2766
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(Original post by AllGrade999999)
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Struggling on this, there’s no solutions for it too
e^2x = (u-1)^2
Which is the numerator. Should be straightforward to integrate wrt u?
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r7kytt
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(Original post by mqb2766)
e^2x = (u-1)^2
Which is the numerator. Should be straightforward to integrate wrt u?
Done - I get {integral} (u-1)^2 / u ?
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r7kytt
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mqb2766
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(Original post by AllGrade999999)
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The working is a bit wrong (cubic?), but the previous answer is right, so maybe a typo.
It's a quadratic numerator after cancelling by e^x.
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r7kytt
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(Original post by mqb2766)
The working is a bit wrong (cubic?), but the previous answer is right, so maybe a typo.
It's a quadratic numerator after cancelling by e^x.
I’m confused, so I was right?

e^3x is (u-1)^2

So I made everything in terms of u ,
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mqb2766
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(Original post by AllGrade999999)
I’m confused, so I was right?

e^3x is (u-1)^2

So I made everything in terms of u ,
No. Why do you think that?
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r7kytt
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(Original post by mqb2766)
No. Why do you think that?
I mean (u-1)^3*
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(Original post by AllGrade999999)
I mean (u-1)^3*
Yes. It was slightly easier to cancel e^x first, then do the quadratic x->u substitution.
Last edited by mqb2766; 1 month ago
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r7kytt
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(Original post by mqb2766)
Yes. It was slightly easier co cancel e^x first, then do the quadratic substitution.
u(u-1)^4 / u (u-1) ?
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(Original post by AllGrade999999)
u(u-1)^4 / u (u-1) ?
I have no idea where you're going with this. You seem to be doing random algebra.
Just continue #3.
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r7kytt
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(Original post by mqb2766)
I have no idea where you're going with this.
Just continue #3.
🤣🤣🤣🤣🤣
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(Original post by mqb2766)
I have no idea where you're going with this. You seem to be doing random algebra.
Just continue #3.
I’m confuzzeld😂😂

What quadratic??🤣
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(Original post by AllGrade999999)
I’m confuzzeld😂😂

What quadratic??🤣
You must have understood how you got to post 3? Then simply integrate.
If not, describe what the problem is, I'm thoroughly confused what you're trying to do.
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r7kytt
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#15
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(Original post by mqb2766)
You must have understood how you got to post 3? Then simply integrate.
If not, describe what the problem is, I'm thoroughly confused what you're trying to do.
Ahhh! I seee it!!!
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(Original post by mqb2766)
You must have understood how you got to post 3? Then simply integrate.
If not, describe what the problem is, I'm thoroughly confused what you're trying to do.
Oh my goodness, hold on pls
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(Original post by AllGrade999999)
Oh my goodness, hold on pls
Can hardly wait ...
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r7kytt
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#18
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(Original post by mqb2766)
Can hardly wait ...
So it’s 1/u right?

I got {integral} 1/u + (u-1)^3 / (u-1) du
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(Original post by AllGrade999999)
So it’s 1/u right?

I got {integral} 1/u + (u-1)^3 / (u-1) du
You really need to upload your working.
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r7kytt
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(Original post by mqb2766)
You really need to upload your working.
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