Explain why or why not Determine whether the following state- ments are true and give an explanation or counterexample. a. The area of the region bounded by y = x and x = y² can be found only by integrating with respect to x. b. The area of the region between y = sin x and y = cos x on the interval [0, 7/2] is S(cos x – sin x) dx. c. f(x – x²) dx = So(Vỹ – y) dy.

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Explain why or why not Determine whether the following state-
ments are true and give an explanation or counterexample.
a. The area of the region bounded by y = x and x = y² can be
found only by integrating with respect to x.
b. The area of the region between y = sin x and y = cos x on the
interval [0, 7/2] is S(cos x – sin x) dx.
c. f(x – x²) dx = So(Vỹ – y) dy.
Transcribed Image Text:Explain why or why not Determine whether the following state- ments are true and give an explanation or counterexample. a. The area of the region bounded by y = x and x = y² can be found only by integrating with respect to x. b. The area of the region between y = sin x and y = cos x on the interval [0, 7/2] is S(cos x – sin x) dx. c. f(x – x²) dx = So(Vỹ – y) dy.
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