58 lines
2.1 KiB
HTML
58 lines
2.1 KiB
HTML
{% extends "layout.html" %}
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{% block title%}
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Summed
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{% endblock %}
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{% block main %}
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<div class="col-sm-12" style="background-color: #0f11175c; padding: 20px">
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<font size="5" color="white">
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<span>Approximating the integral of $f(x) = {{ value }}$ from ${{ lb }}$ to ${{ ub }}$ using ${{ si }}$ subintervals</span>
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</font>
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</div>
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<font color="white">
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<table class="table table-hover" action="optimized">
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<tbody>
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<tr class="bg-dark text-white">
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<td>Step 1</td>
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<td>Calculate $\Delta x$</td>
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</tr>
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<tr class="table-secondary">
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<td></td>
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<td>$\Delta x = {{ dx }}$</td>
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</tr>
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<tr class="bg-dark text-white">
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<td>Step 2</td>
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<td>Check values for $x_i$ (start at lowerbound a and add $\Delta x$ repeatedly)</td>
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</tr>
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{% for input in inputs %}
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<tr class="table-secondary">
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<td></td>
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<td>$f(x_{{ loop.index - 1 }}) = f({{ input }}) = {{ outputs[loop.index - 1] }}$</td>
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</tr>
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{% endfor %}
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<tr class="bg-dark text-white">
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<td>Step 3</td>
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<td>Multiply $f(x_i)$ and $\Delta x$ for each subinterval</td>
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</tr>
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{% for rectangle in rectangles %}
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<tr class="table-secondary">
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<td></td>
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<td>$f(x_{{ loop.index - 1 }}) \Delta x = f({{ inputs[loop.index - 1]}})*{{ dx }} = {{ rectangle }}$</td>
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</tr>
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{% endfor %}
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<tr class="bg-dark text-white">
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<td>Step 4</td>
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<td>Add up all products (rectangles) to get final approximation:</td>
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</tr>
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<tr class="table-secondary">
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<td></td>
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<td>The integral of $f(x) = {{ value }}$ from ${{ lb }}$ to ${{ ub }}$ is approximately equal to ${{ result }}$</td>
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</tr>
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</tbody>
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</table>
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</font>
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<img src={{url}} alt='Chart' height='500' width='500'>
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{% endblock %}
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