Evaluate the integral Z π 0 Z π x cos(y) y dy dx. Hint: Since cos(y)...
Evaluate the integral Z π 0 Z π x cos(y) y dy dx.
Hint: Since cos(y) y doesn’t have an elementary antiderivative in y, the integral can only be evaluated by reversing the order of integration using Fubini’s theorem.
Homework Answers
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Evaluate the integral Z π 0 Z π x cos(y) y dy dx.
Hint: Since cos(y)...
The following integral can be evaluated only by reversing the order of integration. Sketch the region...
The following integral can be evaluated only by reversing the order of integration. Sketch the region of integration, reverse the order of integration: and evaluate the integral. Integrate 4 0 Integrate 2 root x (x^2/y^7+1) dy dx Choose the correct sketch of the region below. The reversed order of integration is integrate integrate (x^2/y^7+1) dx dy. The value of the integral is .
5. (4 points) Calculate integral $.264 + z sin y)dx + (x? cos y − 3yjº)dy...
5. (4 points) Calculate integral $.264 + z sin y)dx + (x? cos y − 3yjº)dy along triangle with vertices (0,0), (1,0) and (1,1), oriented counterclockwise, using Green's theorem.
Evaluate the integral. 27 77 (sin x + cos os y) dx dy 0 311 2TT...
Evaluate the integral. 27 77 (sin x + cos os y) dx dy 0 311 2TT 5TT 4TT
Evaluate the integral 1 ET sin(2²) dx dy by reversing the order of integration. With order...
Evaluate the integral 1 ET sin(2²) dx dy by reversing the order of integration. With order reversed, 6 sin(x²) dy dx, where a = ,b= C= and d Evaluating the integral, So S, sin(x2) dx dy =
The figure shows the region of integration for the integral. fx, y, z dy dz dx 0 Jo Rewrite this ...
The figure shows the region of integration for the integral. fx, y, z dy dz dx 0 Jo Rewrite this integral as an equivalent iterated integral in the five other orders. (Assume yx) 6x and z(x)-36-) x. f(x, y, 2) dy dx dz x, , z) dz dx dy f(x, y, z) dz dy dx f(x, y, z) dx dy dz fx, y, z) dx dy dz J0 Jo Jo f(x, y, z) dz dx dy 0 0 f(x, y,...
Problem 18. 7/2 (1 point) Evaluate the iterated integral AIT cos(x+y+z) dz dx dy. Answer:
Problem 18. 7/2 (1 point) Evaluate the iterated integral AIT cos(x+y+z) dz dx dy. Answer:
Use Green's Theorem to evaluate the line integral sin x cos y dx + xy +...
Use Green's Theorem to evaluate the line integral sin x cos y dx + xy + cos a sin y) dy where is the boundary of the region lying between the graphs of y = x and y = 22.
Use Green's Theorem to evaluate the line integral dos sin x cos y dx + xy...
Use Green's Theorem to evaluate the line integral dos sin x cos y dx + xy + cos x sin y) dy where is the boundary of the region lying between the graphs of y = x and y = 22.
Use Green's Theorem to evaluate the line integral fo sin x cos y dx + (xy...
Use Green's Theorem to evaluate the line integral fo sin x cos y dx + (xy + cos x sin y) dy where is the boundary of the region lying between the graphs of y = x and y= 22.
the Evaluate the integral by revising order of integration. aresinly) VIH (05 (x) •Cos ex) dx...
the Evaluate the integral by revising order of integration. aresinly) VIH (05 (x) •Cos ex) dx dy Scanned with CamScanner
The following integral can be evaluated only by reversing the order of integration. Sketch the region of integration, reverse the order of integration: and evaluate the integral. Integrate 4 0 Integrate 2 root x (x^2/y^7+1) dy dx Choose the correct sketch of the region below. The reversed order of integration is integrate integrate (x^2/y^7+1) dx dy. The value of the integral is .
5. (4 points) Calculate integral $.264 + z sin y)dx + (x? cos y − 3yjº)dy along triangle with vertices (0,0), (1,0) and (1,1), oriented counterclockwise, using Green's theorem.
Evaluate the integral. 27 77 (sin x + cos os y) dx dy 0 311 2TT 5TT 4TT
Evaluate the integral 1 ET sin(2²) dx dy by reversing the order of integration. With order reversed, 6 sin(x²) dy dx, where a = ,b= C= and d Evaluating the integral, So S, sin(x2) dx dy =
The figure shows the region of integration for the integral. fx, y, z dy dz dx 0 Jo Rewrite this integral as an equivalent iterated integral in the five other orders. (Assume yx) 6x and z(x)-36-) x. f(x, y, 2) dy dx dz x, , z) dz dx dy f(x, y, z) dz dy dx f(x, y, z) dx dy dz fx, y, z) dx dy dz J0 Jo Jo f(x, y, z) dz dx dy 0 0 f(x, y,...
Problem 18. 7/2 (1 point) Evaluate the iterated integral AIT cos(x+y+z) dz dx dy. Answer:
Use Green's Theorem to evaluate the line integral sin x cos y dx + xy + cos a sin y) dy where is the boundary of the region lying between the graphs of y = x and y = 22.
Use Green's Theorem to evaluate the line integral dos sin x cos y dx + xy + cos x sin y) dy where is the boundary of the region lying between the graphs of y = x and y = 22.
Use Green's Theorem to evaluate the line integral fo sin x cos y dx + (xy + cos x sin y) dy where is the boundary of the region lying between the graphs of y = x and y= 22.
the Evaluate the integral by revising order of integration. aresinly) VIH (05 (x) •Cos ex) dx dy Scanned with CamScanner
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