Evaluate the following integral using the Fundamental Theorem of Calculus. Explain why the result is consistent with the figure. √(x²-2x+6) dx 2-2x+6) dx = 16 (Type an exact answer.) Come _y=x²-2x+6 G Consider the trapezoid whose bases are the left and right sides of the shaded region. The trapezoid has a longer base of length a- a shorter base of length band a height of h= so the area of the trapezoid is The value of the integral found in the previous step is slightly than the area of the trapezoid, as the figure suggests it should be. (Simplify your answers.)
Evaluate the following integral using the Fundamental Theorem of Calculus. Explain why the result is consistent with the figure. √(x²-2x+6) dx 2-2x+6) dx = 16 (Type an exact answer.) Come _y=x²-2x+6 G Consider the trapezoid whose bases are the left and right sides of the shaded region. The trapezoid has a longer base of length a- a shorter base of length band a height of h= so the area of the trapezoid is The value of the integral found in the previous step is slightly than the area of the trapezoid, as the figure suggests it should be. (Simplify your answers.)
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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Transcribed Image Text:Evaluate the following integral using the Fundamental Theorem of Calculus. Explain why the result is consistent with the figure.
(2²-2x+6) dx
2-2x+6) dx =
16
(Type an exact answer.)
Come
_y=x²-2x+8
5
Consider the trapezoid whose bases are the left and right sides of the shaded region. The trapezoid has a longer base of length a = a shorter base of length
band a height of h. so the area of the trapezoid is
The value of the integral found in the previous step is slightly
than the area.
of the trapezoid, as the figure suggests it should be.
(Simplify your answers.)
Transcribed Image Text:Evaluate the following integral using the Fundamental Theorem of Calculus. Explain why the result is consistent with the figure.
(x²-2x+6) dx
[(x²-2x+6) dx = (Type an exact answer)
y=x²-2x+6
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