A graph of ff is shown above. The numbers shown represent the geometric area of each region. Evaluate the following definite integrals.
∫0 to 1 f(x)dx
∫0 to 2 f(x)dx
∫0 to 3 f(x)dx
∫1 to 2 -3f(x)dx
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If the curve lies below the x-axis then the modulus of the area under the curve is considered.
If the curve lies above the x-axis then the modulus of the area under the curve is not considered.
Now, as per the graph in the interval (0,1), the graph lies below the x-axis so the modulus of the area is considered.
In the interval (1,2), the graph lies above the x-axis so the modulus of the area is not considered....
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