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Evaluate the following integrals. Please check the function to be integrated and the order of integration...
Exercise 1. Evaluate the following integrals by reversing the oder of integration: 1 c3 2 a) Jo J3y dy dx; (d,) ev dy d...
Exercise 1. Evaluate the following integrals by reversing the oder of integration: 1 c3 2 a) Jo J3y dy dx; (d,) ev dy dx.
Exercise 1. Evaluate the following integrals by reversing the oder of integration: 1 c3 2 a) Jo J3y dy dx; (d,) ev dy dx.
Integration by substitution 1. Find each of the following indefinite integrals using integration by substitution: dz...
Integration by substitution 1. Find each of the following indefinite integrals using integration by substitution: dz (a) / (xºcos(x4) ) do (c) / (sin(2) cromka) die (e) / (24) do (a) / (2.eller) die (0) / (zlog.cz) Integration by parts 2. Find each of the following indefinite integrals using integration by parts: (a) / (+cos(x)) dx (c) / (vVy + 1) dy (e) / (sin”(w) ) at (8) / (sin(o) cos(0) ) da (b) / (x2=+) di (a) / (x2108_(2))...
1/3 POINTS PREVIOUS ANSWERS LARCALC11 14.1.043. Sketch the region R of integration and switch the order...
1/3 POINTS PREVIOUS ANSWERS LARCALC11 14.1.043. Sketch the region R of integration and switch the order of integration. 14 y 6° 6° fax, y) dx dy 7 OT 1 2 3 4 5 -1 0 012 2 0 3 4 5 1 2 3 4 5 14 y b l'acom a ty = * f(x, y) dx dy = 1 xf f(x, y) dy dx Jo Jo
30 marks please answer with a clear explanation 10. Change the order of integration and evaluate...
30 marks please answer with a clear explanation
10. Change the order of integration and evaluate : (i) S" ST ( sin y/y) dy dx (ii) $ $**** xezy /(4 – y) dy dx
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 =
Sketch the region of integration, reverse the order of integration, and evaluate the integral. 27 3...
Sketch the region of integration, reverse the order of integration, and evaluate the integral. 27 3 03 dy dx y? + 1 3x Choose the correct sketch below that describes the region R from the double integral. O A. B. C. D. Ay y 3- 27- 3- 27 х х 27 27 3 What is an equivalent double integral with the order of integration reversed? X dx dy + 1
1. Use integration by parts to evaluate the following indefinite integrals. (a) / x² sin(24) de...
1. Use integration by parts to evaluate the following indefinite integrals. (a) / x² sin(24) de (b) / -*et de (c) | x arcsec(r) da
Set up iterated integrals for both orders of integration.
5. Set up iterated integrals for both orders of integration. Then evaluate the double integral using the easier order. ∫∫Dy dA, D is bounded by y = x - 20; x = y2 9. Find the volume of the given solid. Bounded by the planes z = x, y = x,x + y = 7 and z = 0 14. Evaluate the double integral. ∫∫D 4y2 da, D = {(x,y) I-1 ≤ y ≤ 1, -y - 2 ≤ x ≤ y}
13. (5 points) Reverse the order of integration for the following iterated integral. You do not...
13. (5 points) Reverse the order of integration for the following iterated integral. You do not have to integrate. cos y dy dx 14. (5 points) Integrate the function g(r,0) = p sin over the sector of a disc in the first quadrant bounded by the circle r² + y2 = 1, the circle r² + y2 = 4, the line y = rV3, and the r-axis. 15. (5 points) Convert the following iterated integral from Cartesian to polar. You...
Evaluate the following integrals (from A to E) A. Integration by parts i) ſ (3+ ++2)...
Evaluate the following integrals (from A to E) A. Integration by parts i) ſ (3+ ++2) sin(2t) dt ii) Z dz un (ricos x?cos 4x dx wja iv) (2 + 5x)eš dr. B. Involving Trigonometric functions 271 п i) | sin? ({x)cos*(xx) dx ii) Sco -> (=w) sins (įw) iii) sec iv) ſ tan” (63)sec^® (6x) dx . sec" (3y)tan?(3y)dy C. Involving Partial fractions 4 z? + 2z + 3 1) $77 dx 10 S2-6922+4) dz x2 + 5x -...
Exercise 1. Evaluate the following integrals by reversing the oder of integration: 1 c3 2 a) Jo J3y dy dx; (d,) ev dy dx.
Exercise 1. Evaluate the following integrals by reversing the oder of integration: 1 c3 2 a) Jo J3y dy dx; (d,) ev dy dx.
Integration by substitution 1. Find each of the following indefinite integrals using integration by substitution: dz (a) / (xºcos(x4) ) do (c) / (sin(2) cromka) die (e) / (24) do (a) / (2.eller) die (0) / (zlog.cz) Integration by parts 2. Find each of the following indefinite integrals using integration by parts: (a) / (+cos(x)) dx (c) / (vVy + 1) dy (e) / (sin”(w) ) at (8) / (sin(o) cos(0) ) da (b) / (x2=+) di (a) / (x2108_(2))...
1/3 POINTS PREVIOUS ANSWERS LARCALC11 14.1.043. Sketch the region R of integration and switch the order of integration. 14 y 6° 6° fax, y) dx dy 7 OT 1 2 3 4 5 -1 0 012 2 0 3 4 5 1 2 3 4 5 14 y b l'acom a ty = * f(x, y) dx dy = 1 xf f(x, y) dy dx Jo Jo
30 marks please answer with a clear explanation
10. Change the order of integration and evaluate : (i) S" ST ( sin y/y) dy dx (ii) $ $**** xezy /(4 – y) dy dx
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 =
Sketch the region of integration, reverse the order of integration, and evaluate the integral. 27 3 03 dy dx y? + 1 3x Choose the correct sketch below that describes the region R from the double integral. O A. B. C. D. Ay y 3- 27- 3- 27 х х 27 27 3 What is an equivalent double integral with the order of integration reversed? X dx dy + 1
1. Use integration by parts to evaluate the following indefinite integrals. (a) / x² sin(24) de (b) / -*et de (c) | x arcsec(r) da
13. (5 points) Reverse the order of integration for the following iterated integral. You do not have to integrate. cos y dy dx 14. (5 points) Integrate the function g(r,0) = p sin over the sector of a disc in the first quadrant bounded by the circle r² + y2 = 1, the circle r² + y2 = 4, the line y = rV3, and the r-axis. 15. (5 points) Convert the following iterated integral from Cartesian to polar. You...
Evaluate the following integrals (from A to E) A. Integration by parts i) ſ (3+ ++2) sin(2t) dt ii) Z dz un (ricos x?cos 4x dx wja iv) (2 + 5x)eš dr. B. Involving Trigonometric functions 271 п i) | sin? ({x)cos*(xx) dx ii) Sco -> (=w) sins (įw) iii) sec iv) ſ tan” (63)sec^® (6x) dx . sec" (3y)tan?(3y)dy C. Involving Partial fractions 4 z? + 2z + 3 1) $77 dx 10 S2-6922+4) dz x2 + 5x -...
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