DHS 14.2 - Option 4. Decisions Ryabushko AP

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1. Show that this expression is a total differential of the function u (x, y). Find u (x, y) function
1.4. (Y2exy2 + 3) dx + (2xyexy2 - 1) dy

2. Solve the following tasks:
2.4. Calculate the weight of the arc of the curve y = lnx, between the points with abscissas x = √3 and x = √8, if the arc density at each point is equal to the square of the abscissa of the point.

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Detailed solution. Decorated in Microsoft Word 2003 (Quest decided to use the formula editor)

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