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WZ
Numerade Educator

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Problem 35 Medium Difficulty

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

$ \displaystyle \int_0^{\frac{\pi}{2}} \tan^2 \theta\ d \theta $

Answer

$\infty,$ Divergent

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Video Transcript

the problem is determine why that each integral is converted. Weren't there? Weren't while with those that converted this improper, integral admission this Izzy called to limit a goes to hi over to a girl from zero to a stranded C square? Yeah. Now look at this definite integral. This is a code to integral off from zero to a In here we use it Identity hand and faded square plus one is equal to second beta squire Tenancy Squire is he? Go to steak. And where? Minus one Freeze. Then on daddy relative of sake in the state of choir is Seiko to hand in beta. This is the cannon. See that Minus huh? From zero to a now plug in a and zero to this function. This is Nico to hand. Hey, my my A minus zero. Now what? They goes too high or too hand. Hey goes to infinity. The result is just too was to infinity. So this improper integral is that word