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104 lines
4.0 KiB
HTML
104 lines
4.0 KiB
HTML
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<title>Integral Approximation Calculator</title>
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<meta name="description" content="Use this tool to find the approximate area from a curve to the x axis">
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<h1 class="center">Integral Approximation Calculator</h1>
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<p class="center">Use this tool to find the <b>approximate</b> area from a curve to the x axis.<br>
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Read <a href="integral-approximations.html">Integral Approximations</a> to learn more.</p>
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<p> </p>
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<script>integralapproxMain();</script>
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<p> </p>
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<p>Note: use your eyes and common sense when using this! Some curves don't work well, for example tan(x), 1/x near 0, and functions with sharp changes give bad results.</p>
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<h2>Plus and Minus</h2>
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<p><span style="float:right; margin: 0 0 5px 10px;"><img src="images/integral-def-cos-1-3.svg" alt="definite integral cos(x) from 1 to 3" height="127" width="212"></span></p>
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<p>When the curve is below the axis the value of the integral is negative!</p>
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<p><b>So we get a "net" value.</b></p>
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<h3>Total Area</h3>
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<p>If we want a total <b>area</b> (say we wanted to paint it) we can use the <a href="../sets/function-absolute-value.html">absolute value</a> function <b>abs()</b>. Or we can manually find where the curve crosses the axis and then work out separate integrals and reverse the negatives before adding.</p>
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<a href="integration-introduction.html">Introduction to Integration</a>
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<a href="integral-approximations.html">Integral Approximations</a>
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<a href="index.html">Calculus Index</a>
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