Improper Integral Example 2 PART 1/2 (KristaKingMath)

Improper Integral calculus example.

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Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;)

Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!”

[vinaynayak]

I love how she's so happy to do Calculus and says "Hi" in the beginning of every video.

[hurricanes]

This was extremely helpful. I had done the problem right except for one small mistake, but you clarified everything. Keep up the good work.

[kristakingmath]

He doesn't do it to torment you, he does it because it's technically correct. If you're being technical about it, you can't just plug infinity into a function. The only way you can evaluate at infinity is to take the limit as some value (R, in this case) approaches infinity. But his way and my way will always give you the same answer. I'm just taking out that step because I think it makes it more confusing! :)

[shayshaynana]

YOURE THE BEST EVER YOU MAKE EVERYTHING SO SIMPLE

[kristakingmath]

you're welcome!! i hope they're helping!! :D

[DfromBoston]

Hi Krista, I looked for part 2 of this video but I was unable to find it.

[dclimbing]

so, my prof uses a method that subs R (or any variable) for infinity and takes the limit of the integral as R->infinity. Are you doing something different? Will both calculations give the same answer? Does he do this just to torment us?

[kristakingmath]

@vinaynayak1993 I can't help it.... what can I say? :)

[jpcurley]

If more Math teachers were as easy on the eyes as she is... :)

[MsReeses]

can you please explain why it is called an improper integral? is it because it has infinity?

[spaarkleandfade]

This video says it is example 1, but in the beginning you're referencing to an earlier example of an improper integral... I searched for another previous video but couldn't find it! :(

[BrianPeppers]

what are the noises in the first couple seconds

[kishorvalsalan]

Thank you so much for uploading such videos. I like your lectures....simple and clear.... Really helps me a lot in my Exams....Gratitude from

[tigerph]

How do you decide which term is the u and which is the dv??? because you would get a different answer if you were to do the opposite of the u and dv you picked in this video. I'm very confused. Great videos by the way!

Not only do you explain well, but you are extremely beautiful, making it easier to learn.

[Sanriomaniac]

You should write du = dx and dv = e^3x dx

[SKP]

I just want to say that your notation is wrong. When you differentiate u in the beginning, you completely ignore dx and when you assigned dv=e^(-3x), you left out the dx. This is very bad practice because du  or dv alone do not mean anything.

[InstrumentalKINGblog]

Nice, I like how you explained step by step very clearly. I use your videos with a combination of PatrickJMT and Derrick Owens. It really helps. Thanks again, I'm studying for my Biz Calc Final, and this video just made it a hella lot easier to understand :)

[saadman]

i have 1 question how we knw that wich one should be the u ?? and dv ?? plz answer me soon i go quiz !! after 2 days thnxx

[frostythesnw]

I've been studying from your videos for like the past two years. like seriously, i'd be failing ap calc bc if it weren't for you.