Show that the form under the integral sign is exact in the plane and r(2,2) -æ²-y° (x dx + y dy). e evaluate the integral J(-1,–1) NOTE: Enter the exact answer. (F»)a (Fi)y ||

Q: [[(2x + y²) da + 2xy dy], where C is the line segment from (-1,0) to (1, 2) Evaluate in two…

A: The line integral ∫CMdx+Ndy involves the integration over a specific path. In this case, the line…

Q: Find the indefinite integral and check the results by differentiation (4x² + 3)²dx 10NI 1SU F10 F11…

A:

Q: d) [ ²³ f(x) dx = = 0 11

A: Consider the given figure,The objective is to evaluate the integral .Formulas use:Area of triangle…

Q: Use U-substitution to find the integral: 2 1 dx

A: Given,          ∫1x22-1xdx

Q: What is the integral of the constant function f(x, y) = 5 over the rectangle [-2, 3] x [2, 4]?

A: Given:            f(x, y) = 5   over rectangle -2, 3×2, 4