Answer: (a) Sketch the semicircle (b) Explain why without evaluating either integral
Chapter 8, Problem 112(choose chapter or problem)
(a) Sketch the semicircle \(y=\sqrt{4-x^{2}}\).
(b) Explain why
\(\int_{-2}^{2} \frac{2 d x}{\sqrt{4-x^{2}}}=\int_{-2}^{2} \sqrt{4-x^{2}} d x\)
without evaluating either integral.
Text Transcription:
y=sqrt 4-x^2
int_-2^2 2 d x/sqrt 4-x^2=int_-2^2 sqrt 4-x^2 dx
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