Calculate Area Under Curve in Excel (2 Easy Ways)

 Calculate Area Under Curve in Excel (2 Easy Ways)

It’s possible that in order to understand the integral, you had to first draw and color a plotted curve, and then compute the area of the shaded portion. The area under a plotted curve may be calculated in Excel using two methods described in this article.

  • Using the Trapezoidal rule, determine the area under a plotted curve.
  • Using a chart trendline, determine the area under a plotted curve.

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Use The Trapezoidal Rule to Determine the Surface Area Under a Plotted Curve

For instance, as seen in the picture below, you’ve produced a plotted curve. The area between the curve and the x axis will be divided into numerous trapezoids, with each trapezoid’s area being calculated separately and then summed.

x=1 and x=2 are the points where the first trapezoid is located beneath the curve, as illustrated in the screenshot. The formula for calculating its area is =(C3+C4)/2* (B4-B3).

Second, drag the AutoFill handle down to compute additional trapezoids’ areas.

We now know how big each trapezoid is. To determine the entire area beneath the plotted area, enter the formula =SUM(D3:D16) in a blank cell.

Using a Trendline Chart, Estimate the Surface Area Under the Plotted Curve

The displayed curve’s equation will be derived from the chart’s trendline, and the definite integral of that equation will be used to determine the area under the shown curve.

Select the chart you want to design, then click Design (or Chart Design) > Chart Design Add Element to Chart > Trendline > Additional Trendline Options.

In the Format Trendline pane:

  • One choice that best fits your curve might be found under Trendline Options.
  • Select the option to show the equation on the chart.
  • After that, the equation is inserted into the graph. Calculate the definite integral of the equation by pasting it into sprintzeal your spreadsheet.

F(x) = (0.0219/3)x3 + (0.7604/2)x2 + 5.1736x + c is the definite integral of my general trendline equation y = 0.0219×2 + 0.7604x + 5.1736.

x=1 and x=15 is now plugged into the definite integral, and the difference between those two values is calculated as shown in Step 4. The difference between the plotted curve’s area and the difference between the plotted curve’s area is the difference.

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Lisa James

Lisa is a 24-year old, passionate writer, and a keen observer. She loves fashion and is always looking for new trends and styles. Not just that, but she’s also the boss lady who is always hustling and trying to get everything done perfectly!

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