# What Method of Integration is this?

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#1
We've just started Methods in Calculus in Further Maths but are yet to start it in Maths. I'm just wondering what method of Integration is used to get this integral:
Last edited by Afrrcyn; 1 month ago
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1 month ago
#2
(Original post by Afrrcyn)
We've just started Methods in Calculus in Further Maths but are yet to start it in Maths. I'm just wondering what method of Integration is used to get this integral:
It's just seeing what happens when the upper limit goes to infinity.
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#3
(Original post by mqb2766)
It's just seeing what happens when the upper limit goes to infinity.
Below the red line, they've integrated it?
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1 month ago
#4
(Original post by Afrrcyn)
Below the red line, they've integrated it?
Yes, that's the indefinite integral.
Then consider the upper limit going to infinity. Does it converge/is it finite.
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#5
(Original post by mqb2766)
Yes, that's the indefinite integral.
Then consider the upper limit going to infinity. Does it converge/is it finite.
Sorry my fault, I don't think I've been clear, how would I integrate that? 1 / x^a when x != 1
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1 month ago
#6
(Original post by Afrrcyn)
Sorry my fault, I don't think I've been clear, how would I integrate that? 1 / x^a when x != 1
1/x^a = x^-a. You should know how to integrate x to a power (other than x^-1).
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#7
(Original post by DFranklin)
1/x^a = x^-a. You should know how to integrate x to a power (other than x^-1).
I'm a donkey! Sorry had to learn 3 weeks of integration in one lesson. My brains a little fried..
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