Compute the following iterated itegrals by re- versing the order of integration. 2 1 2x2 Compute the following ite...
Compute the following iterated itegrals by re- versing the order of integration. 2 1 2x2
for the iterated integral sin(x^2) rewrite the integral reversing the order of integration and evaluate the new integral
Write the given iterated integral as an iterated integral with the order of integration interchanged. 11 15-Y dx dy O 15 - X dy dx 11 i 15- X dy dx 15-X dy dx 11 15-X dy dx
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...
15. (15 points. (a) Sketch the region of integration for the iterated integral . Lzi?dz dy. (b) Evaluate the above iterated integral by reversing the order of integration.
Set up iterated integrals for both orders of integration. Then evaluate the double integral using the easier order. ∫∫DydA, D is bounded by y = x -30; x = y2
please write neatly and no script! 7. (10 points) For the following iterated integral, sketch the region of integration, then switch the order of integration and evaluate the new iterated integral. 1 •1/2 SL e-22 dx dy. y/2
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}
ST sy +27*dylv Sketch the region R of integration and write as in iterated integral in the order dxdy. Do not evaluate the integral.
Compute the iterated integral 2 V8-y2 8-r2-y2 2 sin(2y+ 2 )dzdxdy 0 Compute the iterated integral 2 V8-y2 8-r2-y2 2 sin(2y+ 2 )dzdxdy 0