4 (2, 4) y = 2x y = x? Using a vertical element of area, the area of the shaded region is given by the integral (2x (2x (2x +x?) dx

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.4: Derivatives Of Exponential Functions
Problem 37E: Use graphical differentiation to verify that ddxex=ex.
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4
(2, 4)
y = 2x
y = x2
Using a vertical element of area, the area of the shaded region is given by the integral
(2r -x2) dx
(2x
2.
Transcribed Image Text:4 (2, 4) y = 2x y = x2 Using a vertical element of area, the area of the shaded region is given by the integral (2r -x2) dx (2x 2.
y? = 4r
(4, 4)
y= 2x-4
(1,-2)
Using a horizontal element of area, the area of the shaded region is given by the definite integral
(2x - 4)
-2
y+4
dy
-2L
Transcribed Image Text:y? = 4r (4, 4) y= 2x-4 (1,-2) Using a horizontal element of area, the area of the shaded region is given by the definite integral (2x - 4) -2 y+4 dy -2L
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