Solved: 3538 TrueFalse Determine whether the statement is true orfalse. Explain your

Chapter 14, Problem 37

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True-False Determine whether the statement is true or false. Explain your answer.

If $R$ is the region in the first quadrant between the circles $r=1$and $r=2$, and if f is continuous on $R$, then

$\iint_{R}\left(f(r, \theta) d A=\int_{0}^{\pi / 2} \int_{1}^{2} f(r, \theta) d r \ d \theta\right.$

Equation Transcription:

$R$

$r=1$

$r=2$

$f$

$R$

$\int\limits_{\ }^{\ }\int\limits_{R}^{\ }(f(r,\theta{})dA=\int\limits_{0}^{\pi{}/2}\int\limits_{1}^{2}f(r,\theta{})dr\ d\theta{}$

Text Transcription:

r=1

r=2

Integral integral_R (f(r,theta)dA=integral_0 ^pi/2 integral_1 ^2 f(r,theta)dr d theta

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