There was some worksheet I found here a while ago called integrals from hell with a bunch of difficult integral problems. that I lost. I'm looking to practice basic integration inside-out for my calc2 class so if anyone had that worksheet or anything similar that'd be much appreciated.
uh bump i just want some practice resources for basic integration
>>8122758
>calc 2
it's literally plug and chugg m8
just do the problems in any calculus textbook
t. 97% in calc II
>>8122791
nah bruh you need creativity and practice so you know when to u-sub what
>>8122758
never seen it, but i can post some integrals that i lost points on the exam.
>>8122965
u-sub ln x, gets rid of the 1/x, leaving 1/4u^2-u, factor, partial fractions, whatevs
Show that integral in pic related equals 0 for all step functions defined for [a,b].
>>8122971
pi/8
>>8122979
correct
>>8122983
correct
>>8122983
Prove the equality in pic related.
I am just posting integrals from calc 1, because our calc 2 were kinda chug and plug. The integrals presented there were inside of problems and I personally had to practice a lot on u-sub.
If you can prove pic related then I would say you have mastered u-subbing, what is it you want from integrals exactly?
>>8122971
Use parts for this one and it's not too bad.
Reduces to 1/2 int x=0 to inf 1/(x+1) 1/(1+x^2) dx which is standard rational function integral.
Problems start about halfway down the page.
https://www.math.ucdavis.edu/~kouba/CalcTwoDIRECTORY/usubdirectory/USubstitution.html
>>8122999
this is a famous result. it was even required to be learn by heart after you demonstrate it.
>>8123002
Yup, correct.
>>8123007
Whoever solved it first, I will always respect him (euler?)
