MHB Write on Interpretations of integration (give examples).

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The discussion focuses on interpretations of integration, particularly in the context of calculus. Participants clarify whether the assignment is to provide personal interpretations or to seek others' views on integration. Key concepts mentioned include the relationship between integration and derivatives, as well as the significance of finding the area under a curve. The historical contributions of Newton and Leibniz to calculus are highlighted, emphasizing their role in connecting these fundamental concepts. Understanding these interpretations is essential for grasping the broader implications of integration in mathematics.
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write on Interpretations of integration (give examples).
 
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Now was your homework assignment "have someone else give an interpretation of integration" or was it "write your interpretations of integration and give examples"?

Where did you get this question? Are you taking a Calculus class? If so what have you learned about "integration"? Have you learned about the "derivative" and the "anti-derivative"? Have you learned about finding area under a general curve?

Those were both questions dealt with by many people. Newton and Leibniz are considered the "fathers of Calculus" because they recognized how those two questions are connected.
 
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...
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