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Use the Comparison Theorem to determine whether the integral2 | 4 Vr' 2x _converges Or diverges!...

Question

Use the Comparison Theorem to determine whether the integral2 | 4 Vr' 2x _converges Or diverges!

Use the Comparison Theorem to determine whether the integral 2 | 4 Vr' 2x _ converges Or diverges!



Answers

Determine whether the integral converges or diverges. Find the value of the integral if it converges. $$\int_{-4}^{4} \frac{2 x}{x^{2}-1} d x$$

From one X square Minister of X about fathers three Do you act? Will say this integral will be smarter than the nickel fungi infinity and smoked you over for tea act I can understand and goes to infinity intercourse from one to infinity one over x squared the ANC's Andi From the, uh, question, we we can go and this one is a convergent. We can gradually good here, So yeah, this is a condensed down into the X minus two. Then we can continue from here entirely. If there was on equal June minus one of they wanted on the one Do I go to the limit? I just infinitely minus one over I just one. So when I goes to infinity addition equal Jizo there from getting to one smaller than intimately for one miss in the crow here will be convergent

Given it one for anything. Job, Circum Strayer. Thanks Over act the banks not to stand this into a bigger than the government want to infinitely to over act because this one is responsible. You hear square so we can removing. And then there's only bigger than that on this indica. We can understand the limit farm. Now I just your infinity in the cover one eye and we have the Jew camping outside. I don't have one of the act you get, you get you get you limit Just infinity until the river division Judah on and off The ANC's invalid 80 under 12 I encourage a geo limit. I go to infinity. Then we went and I minus the land of one. Yes, I go to infinity. It isn't equal to the infinity for infinity on because of the greater Yeah, So this in the car were Billy divergent

From June X Square Agent X over land under it. Do you Thanks. Another stamp Every compare with the girl on the X Square each of the X over square the X so objective based the another X by the X square. Because I never actually smarter than the X Square. But we turned in the denominator. They're far isn't be bigger than on now This one consumer find the X squared with the X square from church infinity. Then we can traditionally be into the limit. I get infinity from to you. I don't have to the x the banks. Then again, the limit I just to infinitely in general. Thanks. They wanted under June, do I? Then again, the limit on goes to infinity in about I minus a Jew And then we'll see as I go to infinity doesn't make it infinitely. And when we enter infinitely here and because I'm a big girl who saw this integral will be no virgin

Hello. Welcome to this lesson. In this lesson, we'll use that comparison test to show whether the whole of the integral converges or diverges. So what, we'll compare it against this. So we have one over skirt of X four minus X, and this is always greater than one over X okay, or better than or equal to. But we know that the script of, uh, the integral from one to infinity of one of our x dx mhm that is equal to land X from one to infinity. That is a call to infinity minus one diver. Jeez. So if if this diverges, then the whole of this X plus one cool. So the idea here is that if gee of eggs 15 years Jean of X is less than f of X and then of X diabetes, Ben F of X will diverge, given the same the same bounce. Okay, sometimes your time. This is the end of the lesson.


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