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# Use the Comparison Theorem to determine whether the integral is convergent or divergent.$\displaystyle \int_0^\infty \frac{\arctan x}{2 + e^x}\ dx$

## Convergent

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Integration Techniques

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### Video Transcript

the problem is used comparison. Very, um, To determine why they interview is converging toward I wouldn't function may spark tenant acts over two plus each. Was Maxwell over? Look at this function. We know our tendons Act's. It's always smaller. Czar, I over Sure. One ax is good in a literal afternoon. Dax is ours. Small empire into on DH two plus eat his ads is breathers are into the axe. This function are turned X over. You pass it through the ACS into girl from zero to infinity. Yeah, this is smaller into Europe. From zero to infinity. Well, hi Over too. Over G to fax? Yes. Now look at this function. Look at this integral here. This is equal to right now we're two Lim Hey Goes to infinity integral from Toronto. A need to negative X Yes, this is Echo two. I already too negative. Eat ninety legs from zero to a lim. Just just look out too. The limit A goes to Andi Thiss Iko too. I already ate. So Lim a goes to infinity. He too Negative A goes to zero. This is equal to high over too negative They need to make to you came minus you to hero his wants assistance. You go to serial minus long. This function is converted. I comparator in Syria, Auntie Girl off a cannon acts over two plus each of the AKs. The AKs is kam Urgent.

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