Calculus Help: Integrals 11

[romyboy]

this lesson is great but try this khan academy lots of lesson on caculus maybe you find what you looking

tnx..

[AhhExpoldingMonkies]

AP exam in 2 weeks! you save my life!

[scout6686]

def great teacher

thanks a lot for you posts keep it up :)

[Blueknightex]

That was long! But still..I needed all of that info. thank you! *phew*

And the cool thing is? I can comeback to this video if I forgot something =)

[womshhh]

your are GOD.

[woody71692]

awesome.

[Dendus90]

Would you be mind and add moves about Line integral, Multiple integral or Calculus of variations.

[Arycke]

Try PatrickJMT :)

[dudeee91]

this is pollock's painting

[alongway2]

exemplary  teaching

[seanytan]

omg you and chemguy are great teachers on youtube! i would really like to buy you a teacher's day gift...

[Kreadus005]

Now do multiple integrals, spherical coords, and all manner of confusing thing :P

[doesthismakesense123]

why isn't there an ad for this video? This great man is getting cheated!

[HI5forJazmine]

this is fabulous. i had to deal with a problem just like this and i never thought to move the common integral to the other side!

[tmr9999]

very well explained

[EDUB0902]

oh hell no, its so confusing.

[anime223]

wish i could understand it lol

going to gr12 advanced functions Q_Q

btw is 'integral' easy to learn???

[DrIntrebec]

an integral is just an area of an irregular object

[Arycke]

integrals are very easy to learn. Once you've differentiated enough, you learn patterns and are able to blaze through derivatives, and once you learn the basic integration formulas, you can recognize patterns and common cases fairly easily :)

[XStreetKingSX]

Thanks sir, keep it up.

[Mattprole]

This particular solution is very useful to memorize; it's applicable to quite a few equations, such as integral of e^x (1+e^2x)^1/2. Using trignometric substitution, allowing e^x = tan(t), e^x dx = sec^2(t) than (1+e^2x)^1/2 = sec(t), thus the original equation may be rewritten as integral of sec^3(t), allowing for the method used in the video to be employed. Neat stuff!

[marjan15]

If you use wolframalpha you get slightly longer result:

integral sec^3(x) dx =

= 1/2 (tan(x) sec(x)-log(cos(x/2)-sin(x/2))+­log(sin(x/2)+cos(x/2)))+c

[Shooter1444]

Notice, sin(x)/cos(x)=tan(x). If you rewrite you solution you can obtain an expanded answer. Combine the logs by properties of logs.

log(a)-log(b)=log(a/b). I don't know why the period is different, but you shouldn't always trust calculators and computers.

Try evaluating the integral from 0, pi/3 or something for both solutions and see what that gives you.* Make sure your interval is in the domain of the function.

[marjan15]

W|A gives you real and imaginary part, while solution in the video doesn't have imaginary part. Try plotting both functions. :)

[DRUNKCANADIAN]

I used their website its a useful tool for learning concepts or refreshing the memory.

[MathMikie]

yes i great it's a great site and i would recommend it to students