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Copy the following link and put in the url of another tab: http://www.glowscript.org/\#/user/MSUphysicsforMCB/folder/Public/programumericintegration/edit Copy this glowscript code to your own account. This code does numerical integration of the definite integral of 3 different functio numerical integration provides the same solution to the definite integral as applying the limits to the indefinite integral. (a.) When doing the integral, what does dx do? It provides the width of the rectangle in each step. Previous Tries (b.) Adjusting number of steps from 1e4 to 10. Select the option that best describes what happens to the numerical integral (th Previous Tries (c.) Which variable would vou set to 8 if you wanted to evaluate the integral from 8 to 10 within the original program? lower_limi Rrevious Tries (d.) Approximate the integral of f=x2sin(x)exp(x2) from 2 to 4 ? Set f=x2sin(x)exp(x2) in the code. Do not forget to change the limits and make sure you have enough number_of step Tries 9/99 Previous Tries functions: x2,sin(x), and 1/x2. Theoretically, the indefinite integral of these functions should be 1/3x3,cos(x), and 1/x, respectively. Verify that the gral (that gets printed) in relation to the theoretical answer. The numerical integral is farther from the theoretical answer. wer limit: F. of steps. What does the program print? Notice, a theoretical solution to this problem is not easy. Copy the following link and put in the url of another tab: http://www-glowscript.org/a/user/MSUphysicsforMCB/folder/Public/programumericintegration/edit Copy this glowseript code to your own occount. This code does numerical integration of the definite integral of 3 different functions: x2, sin (x), and 1/xA2. Theoretically, the indefinite integral of these functions should be 1/3x3,cos(x), and 1/x, respectively. Verily that the numerical integration provides the same solution to the definite integral as applying the limits to the indefinite integral, (a.) When doind the integral, What does dx do? it provides the width of the rectangle in each 5 tep. (b.) Adjusting number_of steps from 1e4 to 10. Select the option that best describes what happens to the numerical integral (that gets printed) in relation to the theoretical answer. The numerical integral is farther from the theoretical answer. Previous Tries (c.) Which variable would you set to 8 if you wanted to evaluate the integral from 8 to 10 within the original program? lower_limit: Previous Thes (d.) Approximate the integral of f=x2sin(x)exp(x2) from 2 to 4 ? 32.16 Set f=x+2+sin(x)exp(x+2) in the code. Do not forget to change the limits and make sure you have enough number of itteps. What does the program print? Notice, a theoretical solution to this problem is not easy. Copy the following link and put in the url of another tab: http://www.glowscript.org/\#/user/MSUphysicsforMCB/folder/Public/programumericintegration/edit Copy this glowscript code to your own account. This code does numerical integration of the definite integral of 3 different functio numerical integration provides the same solution to the definite integral as applying the limits to the indefinite integral. (a.) When doing the integral, what does dx do? It provides the width of the rectangle in each step. Previous Tries (b.) Adjusting number of steps from 1e4 to 10. Select the option that best describes what happens to the numerical integral (th Previous Tries (c.) Which variable would vou set to 8 if you wanted to evaluate the integral from 8 to 10 within the original program? lower_limi Rrevious Tries (d.) Approximate the integral of f=x2sin(x)exp(x2) from 2 to 4 ? Set f=x2sin(x)exp(x2) in the code. Do not forget to change the limits and make sure you have enough number_of step Tries 9/99 Previous Tries functions: x2,sin(x), and 1/x2. Theoretically, the indefinite integral of these functions should be 1/3x3,cos(x), and 1/x, respectively. Verify that the gral (that gets printed) in relation to the theoretical answer. The numerical integral is farther from the theoretical answer. wer limit: F. of steps. What does the program print? Notice, a theoretical solution to this problem is not easy. Copy the following link and put in the url of another tab: http://www-glowscript.org/a/user/MSUphysicsforMCB/folder/Public/programumericintegration/edit Copy this glowseript code to your own occount. This code does numerical integration of the definite integral of 3 different functions: x2, sin (x), and 1/xA2. Theoretically, the indefinite integral of these functions should be 1/3x3,cos(x), and 1/x, respectively. Verily that the numerical integration provides the same solution to the definite integral as applying the limits to the indefinite integral, (a.) When doind the integral, What does dx do? it provides the width of the rectangle in each 5 tep. (b.) Adjusting number_of steps from 1e4 to 10. Select the option that best describes what happens to the numerical integral (that gets printed) in relation to the theoretical answer. The numerical integral is farther from the theoretical answer. Previous Tries (c.) Which variable would you set to 8 if you wanted to evaluate the integral from 8 to 10 within the original program? lower_limit: Previous Thes (d.) Approximate the integral of f=x2sin(x)exp(x2) from 2 to 4 ? 32.16 Set f=x+2+sin(x)exp(x+2) in the code. Do not forget to change the limits and make sure you have enough number of itteps. What does the program print? Notice, a theoretical solution to this problem is not easy