Courses on Khan Academy are always 100% free. Start practicing-and saving your progress-now: www.khanacadem... Example where we do substitution twice to get the integral into a reasonable form More free lessons at: www.khanacademy...
This helped me so much! I just transferred from a community college into a four year school, and I'm currently taking cal 2 at my new school. However, I did not learn anything from my cal 1 class, so been suffering in my cal 2 class. I watched 4 of your videos now, and they are great. I will keep use your videos to study, and thank you for your videos.
mojiganga2, the indefinite integral of -1/5 * e^u is -1/5 * e^(u) + c. I understand your logic and it would be true if "e" was a variable like "y" instead, but "e" is a constant rather than a variable. Think of it like the derivative of e^x is e^x as well as its integral is e^x. Hope this helps!
wen hes doing the simpler method he says the du/dx of -sin(5x) = -5 cos(5x), correct me if im wrong but isnt the d/dx sin(5x)= -5 cos(5x). wouldnt the - infront of the sin affect the - in the -5cos5x ? lol sorry if this doesnt make sense
Couldn't you just do power rule of e^-u after the first integral to get the e^u * u' which would result in your -e^u? (Times the 1/5 in front of course)
Even though it's not mine, I would like to dedicate this video to Leonhard Euler. The disease in his eye did not prevent him from seeing in mathematics what those before him had missed. Thank you, Khan, and thank you, Euler.
I know you've been very busy today, but maybe sometime in the future, are there any examples where you are forced to do 2 substitutions and there is no way to do it in one?