Evaluate the double integral over the given region R. yx cos x dA R: -1sys1,0sXST R yx cos x dA = (Simplify your answer.)

Q: Show that the differential form in the integral below is exact. Then evaluate the integral. (2,-4,6)…

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Q: Evaluate the integral using integration by parts. [9x csc ²3x dx [9x csc ²3x dx = (Type an exact…

A: Integration

Q: Evaluate the double integral by changing to polar coordinates. (2x − y) dA, where R is the…

A: Given that the region in the first quadrant enclosed by the circle and the lines To evaluate the…

Q: Use the indicated substitution to evaluate the integral. 9csc (3x)cot (3x)dx, u= 3x 9csc (3x)cot…

A: Given that: ∫9csc(3x)cot(3x)dx

Q: Calculate the following integrals-: (2 – 2r² + I dx "9x - 3x + 1 dx 1- 2- 16r - dx 4x² – 4x + 1 3-…

A: As per guidelines we are suposed to answer the first three questions. Please repost the other…

Q: Evaluate the integral: -12 csc 3x cot 3x cos(csc 3x) sin(csc 3x)

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Q: Evaluate the iterated integral. NOTE: Enter the exact answer. /49-x2 r88–x²–y? x dz dy dx =…

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Q: 6x³y cos(xy²) dy dx

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Q: Evaluate the integral. eX dx V1-e2x Select one: O A. sec (e) + C O B. sin (e) + C O C.-2V1-e2x + C O…

A: We evaluate the given integral by substitution.

Q: 3. dx Vx (2+3/2)5 3 3 dx = Vx (2+3,/x)5 Vx (2+3x)5 X,

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Q: Evaluate the given integral by making an appropriate change of variables. 10 X - 4y dA, where R is…

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Q: Evaluate the integral using the given substitution. sin- dx Select one: A.-1 +1 sin2 + C x 2 3 B.-1…

A: Given information:-