Download Area of Plane Regions Between Curves

Area of a Plane Region Between Curves #2
Find the area of the region between the curves.
(1) y = 4 – x2 and y = 4x – x2
(2) y = –x2 + 6x – 5 and y = –2
(3) y = x2 – x – 6 and the x-axis
(4) x2 – 2x – 2 and y = x + 2
(5) y = –2x + 7 and y = x2 – 4x – 1
(6) y = ½ x2 + 2x and y = –x2 + 2x + 6
(7) y = 0.2 x2 + 3 and y = x2 – 4x + 3
(8) y = 2e0.2x and y = cos x between x = 0 and x = 5
(9) y = sec2x and y = e2x in Quadrant I for x  1
(10) y = x3 – 4x and y = 3x2 – 4x – 4 (You may use your calculator.)
(11) y = x2/3 and y = ( x + 1)1/2 + 1 (You may use your calculator.)
(12) y = x2 and y = x
(13) y = 67 – 0.6x2 and y = 7
(14) y = 7sin(5x) and the x-axis from x = 0 to x = /5
(15) y = x2 – 6x + 7 and x – y = –1
(16) y = 1/x2, x = 5, and y = 4 in Quadrant I
(17) y = –x2 + 4x + 1 and y = 1.4x
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(18) y =  x and x + y = 6 and x = 1
(19) y = x3 and x = 1 and y = 8
(20) y = –x2 + 4x + 3 and x = 4 in Quadrant 1
(21) x = 3 + 2y – y2 and x + y = –1
(22) x = ( y – 1 ) ( y – 4 ) and the y-axis
(23) y = x + 3 and x = ¼y2 – ½y – ¾
(24) x = –y2 + 6y – 5 and the y-axis
(25) x = y2 – 10y + 24
--from Calculus Paul Foerster