Estimate the area of the region between f(x) = x³ - 2x² + 4 the x-axis on [1, 4] using n = 6 and using, (a) the right end points of the subintervals for the height of the rectangles, (b) the left end points of the subintervals for the height of the rectangles and, (c) the midpoints of the subintervals for the height of the rectangles.
Estimate the area of the region between f(x) = x³ - 2x² + 4 the x-axis on [1, 4] using n = 6 and using, (a) the right end points of the subintervals for the height of the rectangles, (b) the left end points of the subintervals for the height of the rectangles and, (c) the midpoints of the subintervals for the height of the rectangles.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Please help with #18.
![For
3x - 2 dx
Sketch the graph of the integrand and use the area interpretation of the definite integral to
determine the value of the integral.
PROBLEM NUMBER 16
Determine the value of
Evaluate
PROBLEM NUMBER 17
9
√₂² f(x)
[ +³
e-t-4
e-t
PROBLEM NUMBER 18
dt.
dx
given that
[²1 f(x) dx = 3 and
fre
f (x)
(2) da
(a) the right end points of the subintervals for the height of the rectangles,
(b) the left end points of the subintervals for the height of the rectangles and,
(c) the midpoints of the subintervals for the height of the rectangles.
dx = 8.
Estimate the area of the region between f(x) = x³ - 2x²2 + 4 the x-axis on [1,4] using n =
6 and using,](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F256c4711-fda7-4eed-b3ed-ed63e2643f1e%2Fda57a2be-c61b-4082-8a33-2a07c48e12a0%2Foaqwiug_processed.jpeg&w=3840&q=75)
Transcribed Image Text:For
3x - 2 dx
Sketch the graph of the integrand and use the area interpretation of the definite integral to
determine the value of the integral.
PROBLEM NUMBER 16
Determine the value of
Evaluate
PROBLEM NUMBER 17
9
√₂² f(x)
[ +³
e-t-4
e-t
PROBLEM NUMBER 18
dt.
dx
given that
[²1 f(x) dx = 3 and
fre
f (x)
(2) da
(a) the right end points of the subintervals for the height of the rectangles,
(b) the left end points of the subintervals for the height of the rectangles and,
(c) the midpoints of the subintervals for the height of the rectangles.
dx = 8.
Estimate the area of the region between f(x) = x³ - 2x²2 + 4 the x-axis on [1,4] using n =
6 and using,
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