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# Integral Examples
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## Example 1
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Original MathML:
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```html
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<math>
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<mi>∫</mi>
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<mi>a</mi>
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<mo>+</mo>
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<mi>b</mi>
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<mi>dx</mi>
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</math>
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```
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Semantic Tree:
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```html
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<stree>
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<integral role="integral" id="6">
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<children>
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<largeop role="integral" id="0">∫</largeop>
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<infixop role="addition" id="5">
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+
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<content>
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<operator role="addition" id="2">+</operator>
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</content>
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<children>
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<identifier role="latinletter" font="italic" id="1">a</identifier>
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<identifier role="latinletter" font="italic" id="3">b</identifier>
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</children>
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</infixop>
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<identifier role="unknown" font="normal" id="4">dx</identifier>
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</children>
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</integral>
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</stree>
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```
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Semantically enriched MathML:
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```html
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<math type="integral" role="integral" id="6" children="0,5,4">
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<mi type="largeop" role="integral" id="0" parent="6">∫</mi>
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<mrow type="infixop" role="addition" id="5" children="1,3" content="2" parent="6">
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<mi type="identifier" role="latinletter" id="1" parent="5">a</mi>
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<mo type="operator" role="addition" id="2" operator="infixop,+" parent="5">+</mo>
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<mi type="identifier" role="latinletter" id="3" parent="5">b</mi>
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</mrow>
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<mi type="identifier" role="unknown" id="4" parent="6">dx</mi>
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</math>
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```
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## Example 2
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Original MathML:
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```html
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<math>
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<mi>∫</mi>
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<mi>∫</mi>
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<mi>∫</mi>
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<mi>dx</mi>
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<mi>dy</mi>
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<mi>dz</mi>
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</math>
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```
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Semantic Tree:
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```html
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<stree>
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<integral role="integral" id="9">
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<children>
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<largeop role="integral" id="0">∫</largeop>
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<integral role="integral" id="8">
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<children>
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<largeop role="integral" id="1">∫</largeop>
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<integral role="integral" id="7">
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<children>
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<largeop role="integral" id="2">∫</largeop>
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<empty role="unknown" id="6"/>
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<identifier role="unknown" font="normal" id="3">dx</identifier>
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</children>
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</integral>
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<identifier role="unknown" font="normal" id="4">dy</identifier>
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</children>
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</integral>
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<identifier role="unknown" font="normal" id="5">dz</identifier>
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</children>
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</integral>
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</stree>
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```
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Semantically enriched MathML:
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```html
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<math type="integral" role="integral" id="9" children="0,8,5">
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<mi type="largeop" role="integral" id="0" parent="9">∫</mi>
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<mrow type="integral" role="integral" id="8" children="1,7,4" parent="9">
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<mi type="largeop" role="integral" id="1" parent="8">∫</mi>
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<mrow type="integral" role="integral" id="7" children="2,6,3" parent="8">
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<mi type="largeop" role="integral" id="2" parent="7">∫</mi>
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<mrow type="empty" role="unknown" id="6" children="" parent="7"/>
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<mi type="identifier" role="unknown" id="3" parent="7">dx</mi>
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</mrow>
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<mi type="identifier" role="unknown" id="4" parent="8">dy</mi>
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</mrow>
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<mi type="identifier" role="unknown" id="5" parent="9">dz</mi>
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</math>
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```
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## Example 3
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Original MathML:
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```html
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<math>
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