MHB Approximate Integral Using Midpoint Rule

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The discussion focuses on solving an integral problem using the midpoint rule. The original poster expresses difficulty with calculus but shares their work for feedback. Respondents confirm that the approach and calculations are correct, with one mentioning that Wolfram Alpha agrees with the results. Overall, the method used is validated by peers, indicating a successful application of the midpoint rule. The conversation highlights the importance of peer review in understanding calculus concepts.
akbarali
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Here is a problem I was having difficulty with. Took me forever just to figure out how to solve (because I stink at Calc).

5f24c3.jpg

14mq80j.png

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Here is my work:

260d4hw.png

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2w32tj8.jpg


Does this look okay? What do you think of the approach?
 
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Re: Intervals

Yes, that looks good. W|A agrees with your number, and your method looks perfect.
 
Thread 'Problem with calculating projections of curl using rotation of contour'

Thread 'Problem with calculating projections of curl using rotation of contour'

Hello! I tried to calculate projections of curl using rotation of coordinate system but I encountered with following problem. Given: ##rot_xA=\frac{\partial A_z}{\partial y}-\frac{\partial A_y}{\partial z}=0## ##rot_yA=\frac{\partial A_x}{\partial z}-\frac{\partial A_z}{\partial x}=1## ##rot_zA=\frac{\partial A_y}{\partial x}-\frac{\partial A_x}{\partial y}=0## I rotated ##yz##-plane of this coordinate system by an angle ##45## degrees about ##x##-axis and used rotation matrix to...
View full post »

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