Each of the following integrals represents the area of either a triangle or part of a circle, and the variable of integration measures a distance. In each case, say which shape is represented, and give the radius of the circle or base and height of the triangle. You will find it useful to make a sketch of the region, showing the slice used to find the integral, labeling the variable and differential on your sketch. Then evaluate the integral to find the area.
Each of the following integrals represents the area of either a triangle or part of a circle, and the variable of integration measures a distance. In each case, say which shape is represented, and give the radius of the circle or base and height of the triangle. You will find it useful to make a sketch of the region, showing the slice used to find the integral, labeling the variable and differential on your sketch. Then evaluate the integral to find the area.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Each of the following integrals represents the area of either a triangle or part of a circle, and the variable of
Transcribed Image Text:Each of the following integrals represents the area of either a triangle or part of a circle, and the variable of integration measures a distance. In each case, say
which shape is represented, and give the radius of the circle or base and height of the triangle. You will find it useful to make a sketch of the region, showing the
slice used to find the integral, labeling the variable and differential on your sketch. Then evaluate the integral to find the area.
A. 3x dx
Which is the shape of the region being integrated?
O A. Triangle
O B. Part of a circle
radius, or base and height =
(If you are entering a base and height, enter them separated by a comma, e.g., 4, 3)
area =
V17
B. Y V17 – h² dh
Which is the shape of the region being integrated?
O A. Triangle
O B. Part of a circle
radius, or base and height =
(If you are entering a base and height, enter them separated by a comma, e.g., 4, 3)
area =
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