#integration

59 messages · Page 1 of 1 (latest)

past tangle
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is it possible to integrate this to (1/k)(ln kx) ?

fringe roost
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Integrates to ln(x)/k

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Take 1/k out of the integral and you’re left with the integral of 1/x which is ln(x) then multiply by the factored out 1/k

past tangle
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but if i dont take 1/k out i can still integrate it to ln(kx) (1/k)

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because try differentiate it

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you get the same thing?

wide chasm
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Wanna see how?

past tangle
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idk how thats possible

wide chasm
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K is a constant

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It can also integrate to lnk^2x/k

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U can keep going substitutions and increasing the size of the power of k

past tangle
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does that mean, when i put the limits in with the different integrals, ill get different answers?

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cos i put them in and got different

wide chasm
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Did u change the limits accordingly?

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When u make a substitution u change limits

past tangle
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what am i subsituting?

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dont you just put the limits in for x?

wide chasm
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Look

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The more substitutions u make the more u can increase the power of k if u wanted to

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,rotate

astral cliffBOT
wide chasm
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No substations

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1 substitution

past tangle
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where did u get du/dx= k from?

wide chasm
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Substitution for u = kx

past tangle
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and i was talking about these limits bro

wide chasm
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Yes mate

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Can u show me how u got lnkx * 1/k ?

past tangle
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ok

wide chasm
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I’m assuming you did it by substitution

past tangle
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no its just a rule

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hold on

wide chasm
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This is with two substitutions u and k

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,rotate

astral cliffBOT
wide chasm
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U see how u get k squared

past tangle
wide chasm
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Ok sweet

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Now u can get that rule by using substitution

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When u use substitution

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The limits change

past tangle
past tangle
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is there a video on yt about that?

wide chasm
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My bad if it looks complicated

past tangle
wide chasm
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That’s the integral u got for 1/k * (lnkx)

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Only difference is the limits change

past tangle
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that makes sense i didnt change the limits

wide chasm
past tangle
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tl maths?

wide chasm
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Yeah

past tangle
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alright thank you mate

wide chasm
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No worries bro