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16 April 2024
07:35 | Book:David Nelson/The Penguin Dictionary of Mathematics/Fourth Edition diffhist +31 Prime.mover talk contribs |
15 April 2024
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22:01 | Book:David Nelson/The Penguin Dictionary of Mathematics/Fourth Edition 3 changes history +4 [Prime.mover (3×)] | |||
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06:45 (cur | prev) +37 Prime.mover talk contribs |
14 April 2024
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m 12:19 | Book:David Nelson/The Penguin Dictionary of Mathematics/Fourth Edition 2 changes history −214 [Prime.mover (2×)] | |||
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12:19 (cur | prev) −33 Prime.mover talk contribs | |||
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09:23 (cur | prev) −181 Prime.mover talk contribs |
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N 09:25 | Integration by Parts/Primitive/Proof 2 4 changes history +1,902 [Prime.mover (4×)] | |||
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09:23 (cur | prev) −2 Prime.mover talk contribs | |||
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09:22 (cur | prev) +27 Prime.mover talk contribs | ||||
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09:21 (cur | prev) +1,981 Prime.mover talk contribs (Created page with "== Theorem == {{:Integration by Parts/Primitive}} == Proof == Let $\map u x$ and $\map v x$ be integrable functions defined on $\closedint a b$. Then: {{begin-eqn}} {{eqn | l = \map {\dfrac \d {\d x} } {u v} | r = u \dfrac {\d v} {\d x} + v \dfrac {\d u} {\d x} | c = Product Rule for Derivatives }} {{eqn | ll= \leadsto | l = v \dfrac {\d u} {\d x} | r = \map {\dfrac \d {\d x} } {u v} - u \dfrac {\d v} {\d...") |
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N 09:22 | Integration by Parts/Primitive/Proof 1 2 changes history +1,493 [Prime.mover (2×)] | |||
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09:22 (cur | prev) +27 Prime.mover talk contribs | ||||
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09:21 (cur | prev) +1,466 Prime.mover talk contribs (Created page with "== Theorem == {{:Integration by Parts/Primitive}} == Proof == {{begin-eqn}} {{eqn | l = \map {\dfrac \d {\d t} } {\map F t \map G t} | r = \map f t \map G t + \map F t \map g t | c = Product Rule for Derivatives }} {{eqn | ll= \leadsto | l = \int \paren {\map f t \map G t + \map F t \map g t} \rd t | r = \map F t \map G t | c = Fundamental Theorem of Calculus: integrating both sides {{WRT|Integration}} $t...") |
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09:22 | Integration by Parts/Primitive 2 changes history −1,069 [Prime.mover (2×)] | |||
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09:22 (cur | prev) −1,533 Prime.mover talk contribs | ||||
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08:27 (cur | prev) +464 Prime.mover talk contribs |
m 09:17 | Primitive of Exponential Function/General Result diffhist +8 Prime.mover talk contribs |
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09:15 | Primitive of x by Cosine of x/Proof 2 2 changes history +476 [Prime.mover (2×)] | |||
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08:26 (cur | prev) +460 Prime.mover talk contribs |
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N 08:20 | Integration by Partial Fractions/Examples/Arbitrary Example 2 2 changes history +1,353 [Prime.mover (2×)] | |||
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08:20 (cur | prev) +36 Prime.mover talk contribs | ||||
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08:11 (cur | prev) +1,317 Prime.mover talk contribs (Created page with "== Example of Use of Integration by Partial Fractions == <onlyinclude> $\ds \int \dfrac {x + 3} {x^2 + 3 x + 2} = 2 \ln \size {x + 1} - \ln \size {x + 2} + C$ </onlyinclude> == Proof == {{begin-eqn}} {{eqn | l = \dfrac {x + 3} {x^2 + 3 x + 2} | r = \dfrac {x + 3} {\paren {x + 1} \paren {x + 2} } | c = }} {{eqn | r = \dfrac 2 {x + 1} - \dfrac 1 {x + 2} | c = Partial Fractions Expansion }} {{eqn | ll= \lea...") |
13 April 2024
m 12:40 | Book:David Nelson/The Penguin Dictionary of Mathematics/Fourth Edition diffhist −9 Prime.mover talk contribs |
12 April 2024
17:22 | Book:David Nelson/The Penguin Dictionary of Mathematics/Fourth Edition diffhist −10 Prime.mover talk contribs |
11 April 2024
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m 22:43 | Book:David Nelson/The Penguin Dictionary of Mathematics/Fourth Edition 2 changes history +2 [Prime.mover (2×)] | |||
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22:43 (cur | prev) +14 Prime.mover talk contribs | |||
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