# Suppose the area of the region between the graph of a positive continuous function ƒ and the x-axis from x = a to x = b is 4 square units. Find the area between the curves y = ƒ(x) and y = 2ƒ(x) from x = a to x = b.

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Suppose the area of the region between the graph of a positive continuous function ƒ and the x-axis from x = a to x = b is 4 square units. Find the area between the curves y = ƒ(x) and y = 2ƒ(x) from x = a to x = b.

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Step 1

The area between the curves f(x) and g(x) can be given by the integral

Step 2

So, the area of the region between the graph of a positive continuous function ƒ and the x-axis from x = a to x = b which is 4 square units is given by

Step 3

Now the area between the curves y=f(x)...

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