Integration by parts: ºx____dx | AP Calculus BC | Khan Academy

[@Jamestheseira]

Can you narrate my life, what a voice.

[@khanacademy]

will be on khan academy by the end of day.

[@rwayne5616]

Very good Sal! Integration by parts is something that a lot of people have problems with. I think it's because textbooks tend to use u and v, which throws folks off track for some reason.

[@LuanCristianThums]

When adding the constant to the function he is just trying to approach every possible antiderivative. The actual result may be "plus 128378713" or "plus -69" or it may doesn't even exist at all: that's because we are talking about derivatives, about slopes, and the slope of a constant is just 0 so it doesn't really matter on the result, it's just so that you can read the expression and add any constant or know that one may exist (or not), but remember: it doesn't matter.

[@Ryan-wx8of]

Ive been watching these things for over a year now man i just wanted to thank you, i cant learn hardly anything from lectures but thanks to you and wolframalpha ive gone from 8th grade developmental math to calc 2 in under a year

[@thelongbow5379]

he taught me more in one playlist than my entire high school integration course

[@kishwarbhuiyan743]

This video has helped me a lot to grasp this difficult idea of integration by parts. Thank you, Sal.

[@mr.robot.159]

Great video, thank you very much Sal!

[@qualquan]

Good. Done straight forwards

[@EduardoRohdeEras]

thank you very much! Your classes are helping me to remember calculus!

[@1ucasvb]

Make a video of the table method too, when you have some larger integration by parts chains!

[@matthewjohnscerri1650]

wow i never found the integration by parts so easy!! btw what software are you using?

[@dalenassar9152]

Sal, You really should write the final answer as: exp(x) [x^2 -2x +2] + C. It makes the quadratic equation in x obvious.

[@bigfan881]

Just to let you know that I added the khan academy app to chrome and the logo is in black and white instead of the regular one. Thanks for what you do.

[@yosoet77]

The anti-derivative of e^{x^2} is not an "elementary" function. it can be though represented with error function

[@daveyboy7]

agree with more samples of table method - I've also noticed that there have been a lot of new integration examples lately but they aren't on the khan academy website. (at least from what I can see). Are these types of examples exclusive to the youtube page or just delayed in being added to the website?

[@squirt9700]

there is a much easier way of doing this... search up the tabular method (it is integration by parts but a faster way in situations like this where if you keeping taking the derivative of f(x) it eventually reaches 0)

[@_FabioSilveira]

With Khan Academy and Wolfram Alpha, who needs anything else?

[@Bloodre1]

Can you do the integration of (x^2)(e^(x^2)) please?

[@aaronmarshall1212]

@Khan Academy does it matter if i Use anti udv=uv- anti vdu? Instead of prime of x method?

[@megselv6633]

+Aaron Marshall I'm just a student, but wouldn't those two methods be the same? U = f(x) and dV = g'(x) from the video...

[@shrishpandey962]

the video is super but its not perfectly visible

[@Optimistas777]

True, I think it's low resolution and compression

[@morganhatch1513]

What would be the integral of In(x)sin(x)?

[@JosCleland]

Why is +C only added right at the very end? it's probably obvious but yeah..

[@LuanCristianThums]

Do you? C = Constant

[@lihlezonela6377]

how did f(x) become just x , not x squared?

[@mozesvtec3333]

i tried u = e^x and dv = x^2dx and it kept forcing integration by parts over and over

[@JosCleland]

I know what C represents?

[@LuanCristianThums]

I know these are new videos but, anyway... it's kind of sad to see the first limit video (even the newer one) has like 500k views and here at integrals there is less than 10k.