In Exercises 33–46, sketch the region of integration and write an equivalent double integral with the order of integration reversed. c4-2r 33. dy dx 34. dx dy y-2 •1 çl-x 35. dx dy 36. dy dx y 1-x • In 2 37. dy dx 38. dx dy • 3/2 9-4x² 39. 16х dy dx 40. y dx dy cl cVī-y² 41. 3y dx dy 42. бх dy dx 0 J -V1-y² -In x -п/6 с1/2 ne 43. xy dy dx 44. ху? dy dx sin x V3 ptan- y II Vay dx dy 45. (x + y) dx dy

Q: Sx(x – 7)12 dx Integrate

A: Hence,  ∫x(x-7)12dx=(x-7)1414+7(x-7)1313+C          Where C is an integral constant .

Q: Evaluate /1 – y² dydx by first | switching the order of integration. Select one: O a. O b. 2 O c. 3…

A:

Q: Evaluate 2æz dV where E = {(x, y, 2) | 2 < * < 3, z < y < 2x, 0 < z< z + 2y}

A:

Q: 1. (Section 16.4) The following integral gives the volume of a solid (a) Graph the solid. 1 1-1-2-y…

A: A volume integral involves the integration with respect to the product of the variables x,y, and z.…

Q: Evaluate the following integral, where R is bounded by x = 1, y = 2x + 4, and y=-x-2. SS₂² dA R

A:

Q: 24e4 (2e4 + 4)ªdx Integrate: 24

A: Step 1:Step 2: Step 3: Step 4:

Q: Integrate: x dx (xt1)(x*+2)

A: Given data: The given integral is I=∫x2(x+1)(x2+1)dx. The given integral can be written as,…

Q: integrate ƒ over the given region. ƒ(x, y) = 1/(xy) over the square 1&lt;=x&lt;= 2, 1 &lt;=y&lt;=2.

A: