Evaluate the double integral. / . (36 + y) dA; R is the region in the first quadrant enclosed by y 0. = x“, y = 1, and x = NOTE: Enter the exact answer. / . x (36 + y?)¯i dA = R

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Q: Evaluate the double integral. 7x?sin ydA; Ris the region that is bounded by y = x³, y = -x', and y =…

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Q: Evaluate the integral and interpret it as the area of a region. я/2 |8 sin(x) – 8 cos(2x)| dx

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Q: Q1: By using double integrals in cartesian coordinates, find the area in the first quadrant that…

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A: Consider the integral: ∫01sinxxdxLetu=xdu=2xdx∫01sinxxdx=∫01sinu2u2udu=∫012sinu2du

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Q: Q5/ change the cartesian integral in an equvalant polor integral then evalute the polor integral…

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Q: Q5/ change the cartesian integral in an equvalant polor integral then evalute the polor integral…

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Q: Find the area bounded by y? = 4a (y – x), y² = 2a (x + 2y – 3a) and x-axis. Show complete %3D…

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Q: [[ 31? dA; R is bounded by y = 0, y = 2x + 4, and y =

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Q: Q1 (a) Interchange the order and evaluate the integration, SL xy' dx dy. (b) By using double…

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Q: Evaluate the integral using integration by parts. x e 11x. *dx xp, e 11x dx = to

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Q: Sketch the region R whose area is given by the double integral. 9. 3 6. dy dx

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A: Substitute x=rsint and differentiate it w.r.t 't'   dxdt=ddtrsintdxdt=rcostdx=rcostdt…

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Q: et dx Ve²x+49

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