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What is the total area between f(x)=6x+6 and the x-axis over the interval [−6,3]?


What is the total area between f(x)=6x+6 and the x-axis over the interval [−6,3]?

Step 1

To calculate the total area bounded between the curve f(x)=6x+6 and x-axis over the interval [-6,3]. First check the function f(x) where, it is above or below the x-axis then, integrate the function over the provided interval to get the total area bounded by curve.

Step 2

According the formula of area bounded by curve, if f and g are continuous on [a, b] and f(x)≥g(x) for all x in [a, b], then the area of the region bounded by the curve f, g, x=a and x=b is given by,

Step 3

Now, draw the graph of the function f(x)=6x+6...


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