Vybrané příklady ze skript ke zkoušce Riemanův integrál 2006-2008

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x61 x6execx6bx6fx6cx69x6b x64x61x6cxb9xedx63x68 x70xf8xedx6bx6cx61x64xf9
x56x2e x55x72x14x63x69x74x13x79 x28x52x69x65x6dx61x6ex6ex17x75x76x29 x69x6ex74x65x67x72x13x61x6c
x54x65x6fx72x69x65 x7b x76x69x7a x73x6bx72x69x70x74x61 x5bx31x5dx3a x4ax2e x4ex65x75x73x74x75x70x61x2c x4dx61x74x65x6dx61x74x69x6bx61 x49x2c x45x64x69xe8x6exed x73x74xf8x65x64x69x73x6bx6f xc8x56x55x54x2c x35x2e x76x79x64xe1x6exedx2c x50x72x61x68x61
x32x30x30x38x2c x73x74x72x2e x31x31x39x7bx31x33x35x2e
V.1. Z akladn vlastnosti ur cit ych integr al u, Newtonova{Leibnizova formule
x50x6fx6dx6fx63xed x74x61x62x75x6cx6bx6fx76xfdx63x68 x69x6ex74x65x67x72xe1x6cxf9 x61 x4ex65x77x74x6fx6ex6fx76x79x7bx4cx65x69x62x6ex69x7ax6fx76x79 x66x6fx72x6dx75x6cx65 x76x79x70x6fxe8xedx74x65x6ax74x65 x6exe1x73x6cx65x64x75x6axedx63xed x75x72xe8x69x74xe9
x69x6ex74x65x67x72xe1x6cx79x3a
x31x39x38x35x2e
Z x32
x31
xx33 x2b x33xx32 x35 x64x x31x39x38x36x2e Z a
x30
ax32x xx33 x64x x31x39x38x39x2e Z x32
x31

xx32 x2b x31xx34

x64x
x31x39x39x31x2e
Z =x34
x30
x31
x63x6fx73x32x x64x x31x39x39x32x2e
Z x38
x31
x33px x64x x31x39x39x33x2e
Z
x30
x73x69x6ex x64x
x31x39x39x36x2e
Z x65
x31
x31
x x64x x32x30x30x30x2e
Z x31
x30
xx32 x31 xx32 x64x x32x30x30x32x2e
Z x34
x31
x31 px x32 x64x
V.2. V ypo cet ur cit eho integr alu substitu cn metodou a metodou per{partes.
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x32x30x31x30x2e
Z x33
x32
x
xx32 x2b x31 x64x x32x30x31x31x2e
Z
x30
x x73x69x6ex x64x x32x30x31x32x2e
Z x65 x31
x30
x6cx6e x28xx2b x31x29 x64x
x32x30x31x35x2e
Z x31
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px
x31 x2bx x64x x32x30x31x37x2e
Z x65x33
x31
x31
x px31 x2b x6cx6ex x64x x32x30x32x30x2e
Z x31
x35
tp
x35 x2b x34t x64t
x32x30x32x34x2e
Z =x32
x30
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Z x31
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x61x72x63x74x67z
x31 x2bzx32 x64z x32x30x33x31x2e
Z x6cx6e x32
x30
x x65 x x64x
x32x30x33x32x2e
Z x32
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x31
xx32 x2bx x64x x32x30x33x35x2e
Z x31
x30
x31p
x34 xx32 x64x x32x30x33x36x2e
Z x31
x31
x x61x72x63x74x67x x64x
x32x30x33x38x2e
Z x65
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x6cx6ex32x
x x64x x32x30x33x39x2e
Z x32
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x x6cx6ex x64x x32x30x34x30x2e
Z =x32
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x73x69x6ex33x x64x
x32x30x34x33x2e
Z x31
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x61x72x63x73x69x6ex x64x x32x30x34x34x2e
Z x32
x31
x65x31=x
xx32 x64x
V.3. Nevlastn Riemann uv integr al
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x32x30x35x30x2e
Z x65
x31
x31
x x6cx6ex x64x x32x30x35x31x2e
Z x34
x30
x31p
x x64x x32x30x35x34x2e
Z x33
x32
x
x34pxx32 x34 x64x
x32x30x35x36x2e
Z x2b1
x32
x31
xx33 x64x x32x30x35x37x2e
Z x2b1
x31
x31
xx32 x2b x32x x64x x32x30x35x38x2e
Z x2b1
x31
x6cx6ex
xx32 x64x
x32x30x36x30x2e
Z x