Use the definition of the definite integral to evaluate ∫02 (3x2 +1)dx. Use a right-endpoint approximation to generate the Riemann sum.
As a first step, let's plot the graph of the curve given to us. Let's call the curve y = f(x) = (3x2 +1).
Please see the plot of y vs x in the range x = 0 to x = 2 at an interval of 0.50
The rectangles using right point have been put on the graph. We have to now calculate the area of the rectangles and sum them. Please see the white board.
Area of a rectangle = Length x width
Width of each rectan...
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