Evaluating an Iterated Integral In Exercises 11-28, evaluate the iterated integral. Area of a Region In Exercise bounded by the graphs of the equations.
22. ∫₀² ∫₃y²-6y)^(2y-y²) 3y dxdy
48. ∫₋₁² ∫₀ᵉ^(₋x) f(x,y) dydx
Can solve number 22 and 48.
Evaluating an Iterated Integral In Exercises 11-28, evaluate the iterated integral. xp ap(K+x) 12 x-y dydx 37-42, use an iterated integral to find the area of the region bounded by the graphs of the equations.
13. ∫₀¹₃ y cos x dy dx 10
14. ∫₋₉ ex+y dy dx
37. y=9-x y=0 38. 2x-3y=0, x+y=5, y=0 39. x+y=2, %=0, y=0 40. y=3/2 y= 41. y=4x y=x+2 42. y=x y=2x x=2 Changing the Order of Integration In Exercises 43-50, integration.
∫₆ᵣ x³ dy dx
15.
16. 6x+5y dx dy
∫₂ Ccos 1+sin x dy dx Jo
17
18. 2ye⁻ dy dx
19
20 xphPx-+9/ 1-y 21. ap xp(K+x) 22. JC 2c⁴-y² 23. dx dy 24 JoJo 3y dx dy
43. f(x,y) dx dy JoJo
44. f(x,y) dx dy oJ
4 4-x f(x,y) dy dx 21 Jo x²+ y² dx dy ∫₄³cos 26. rdrde 10 3
45
46. f(x,y) dy dx ∫₂²cos
25. rdrae 10 Cln y 47 f(x,y) dx dy
48. ∫₂sin f(x,y) dy dx 27 10
28. 3r sin dr d 10
49. f(x,y) dy dx ∫₂ eosx 50. f(x,y) dy dx 10
