How can I find the area under the graph of y = f(x) between x = a and x = b?
You can find the area under this graph by evaluating the definite integral of y = f(x) with respect to x between x = a and x = b
Please note: An area below the x-axis has a negative value
Example:
Find the area under the graph of y = x^2 between x = 3 and x = 6
Step 1: Integrate x^2 to give 1/3x^3
Step 2: Find the definite integral by substituting in values of x
Area = 1/3.6^3 - 1/3.3^3 = 72 - 9 = 63
JR
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