Area of region - polar coords

[medicalphysicsguy]

Greetings,

My book seems to insufficiently prepare me for this problem:

Find the area of region R:

\(\displaystyle \{ R={(r, \theta):0 $\leq \theta $\leq \pi /2, 0 \leq r \leq e^\theta \}\)

I could certainly integrate this if \(\displaystyle r=e^\theta\) . But is the second range indicating that I am revolving this shape around an axis? There are some problems in this chapter like that. But I can't tell.

Thanks!

 

[Deleted member 4993]

Greetings,

My book seems to insufficiently prepare me for this problem:

Find the area of region R:

\(\displaystyle \{ R={(r, \theta):0 $\leq \theta $\leq \pi /2, 0 \leq r \leq e^\theta \}\)

I could certainly integrate this if \(\displaystyle r=e^\theta\) . But is the second range indicating that I am revolving this shape around an axis? There are some problems in this chapter like that. But I can't tell.

Thanks!

\(\displaystyle \int_0^{\frac{\pi}{2}}\int_0^{e^{\theta}}r\cdot dr \cdot d\theta\)