Left Riemann numerical integration A curve is represented by column arrays xCoor

Question

Left Riemann numerical integration A curve is represented by column arrays xCoordinate and yCoordinate. Approximate the integral from xCoordinate(1) to xCoordinate (end) using the Left Riemann approximation method. Assign sumArea with the approximate area under the curve Hint A row array fepresenting the area of each rectangle can be calculated by (dtference between each element in xCoordinate)." yCoordinate Ex te 11, 3, 51 and ycoordinate 2, 4. 71. then sumArea B-1Xa) (5.3x4) 4.8 12 Your Solution Save CReset MMATLAB Documentation 1 function sumArea Left RienannApprox(xCoordinate, y coordinate) 2 s xCoordinate: Row array of x coordinates 3 Coordinate: Row array of y coordinates 5 Row array of rectangle areas is (difference between each element in Coordinat

Explanation / Answer

Matlab Code:

function sumArea = LeftRiemannApprox(xCoordinate,yCoordinate)
sumArea = 0;
for i=1:length(xCoordinate)-1
sumArea = sumArea+((xCoordinate(i+1)-xCoordinate(i))*yCoordinate(i));
end
end

output:

>> sumArea = LeftRiemannApprox([1 3 5],[2 4 7])

sumArea =

12

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