Question

Area of a Region Between Two Curves y = g(x) y = f(x) Which of the following is the area of the shaded region in the figure above? A) $\int_a^b [g(x) - f(x)] dx$ B) $\int_a^b [b + g(x) - f(x)] dx$ C) $\int_a^b [b - g(x) - f(x)] dx$ D) $\int_a^b [b - g(x) + f(x)] dx$

          Area of a Region Between Two Curves
y = g(x)
y = f(x)
Which of the following is the area of the shaded region in the figure above?
A) $\int_a^b [g(x) - f(x)] dx$
B) $\int_a^b [b + g(x) - f(x)] dx$
C) $\int_a^b [b - g(x) - f(x)] dx$
D) $\int_a^b [b - g(x) + f(x)] dx$

Area of a Region Between Two Curves
y = g(x)
y = f(x)
Which of the following is the area of the shaded region in the figure above?
A) ^b [g(x) - f(x)] dx
B) ^b [b + g(x) - f(x)] dx
C) ^b [b - g(x) - f(x)] dx
D) ^b [b - g(x) + f(x)] dx

Added by Sharon R.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Oluwadamilola Ameobi

Step 1

In this case, we have three curves: b+g(r-fx), b-g(x)-11.0, and b-8(x+1)(x). The region is bounded by the x-values -1 and 1. Show more…

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The area of a region between two curves can be found using the following formula: âˆ«[-1,1] [b+g(r-fx)]dr - âˆ«[-1,1] [b-g(x)-11.0]dr + âˆ«[-1,1] [b-8(x+1)(x)]dr