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WZ
Numerade Educator

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Problem 32 Medium Difficulty

Determine whether each integral is convergent or divergent. Evaluate those that are convergent.

$ \displaystyle \int_0^1 \frac{dx}{\sqrt{1 - x^2}} $

Answer

convergent to $\frac{\pi}{2}$

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Video Transcript

problem is determined why the h Integral is convergent or divergent evaluated Those that are convergent this improper integral By definition, this is equal to the limit. A goes to one from the homicide as integral is from 0 to 80. Yes. Oh man, you would have one minus x choir. We compute. It's definitely integral first, so there's definitely integral. This is the echo two oxide X from zero to a. This is equal to oxide a minus sign zero. This is minus zero. We know what a goes to one axon A goes to hi over to so full this integral this integral is converted and the value is high over to