I am facing a similar problem right now, and i understand most of it, however, i am just having a hard time seeing how PQ * PR = normal of the plane
Thank you!
alright so gave er a shot (or a hundred).
Heres where I am at :
After first integration by parts:
x^2arctan(8x) - 8 * { (x^2)/(1+64x^2)
Now only the second part integration by parts:
-8 * { (x^2)/(1+64x^2)
dv = 1 / (64x^2+1) u = x^2
v = arctan(8x)/8 du=...
antiderivative of arctan and x function (by parts... maybe??!)
find antiderivative of 2xarctan(8x)
{ = antiderivative s thing.
I did it by parts at first and got
x^2arctan(8x) - 8 * { (x^2)/(1+64x^2)
To get the antiderivative of the second part i did it by parts again and that...
Hey guys!
So i have to find the antiderivative of
(1-cos(t/6))^3 * sin(t/6)
I have tried a bunch of different ways like by parts, trig substitution, identities, u-substitution then developing it, etc. but i just can't get it!
Can some one just tell me the proper method to use after that I am...
y'' - 8y' + 16 = 0 ; y(0) = 4 ; y'(0) = 9
this should be not too bad but I am stuck in the same place.
m^2 - 8m + 16
m1 = m2 = 4
y = C1e^(mx) + C2(e^(mx))
sub in y(0) = 4
4 = C1 + C2
C1 = 4-C2
y' = mC1e^(mx) + mC2e^(mx)
sub in y'(0) = 9
9 = mC1 + mC2
C1 = 4 - C2...
okay so it was actually a really dumb sneaky mistake:
after all the subtituting and manipulating was done instead of 9cos^2(t) its actually supposed to be 81cos^2(t) then follow my steps from there and its right!
1. find the antiderivative of sqrt(81-x^2) in the bounds 0 to 9/2
okay so the first thing i did was sin substitution.
where I made x = 9sin(t) dx = 9cos(t) where t is theta.
then after some manipulating i got that that new integral was 9cos^2(t)
i then used the double angle formula and...
**her.
And thanks I am definitely planning on getting the hardcore review on after that slightly embarassing display of where I am at in calculus right now.
And for the record sledgehammers are a lot funner to use than nutcrackers.
=)
oh gosh.
IIIII'm just going to go hang myself right now.
Ill just use the excuse that I am smack dab in the middle of midterms thus in the state of mind that every thing is harder than it should be.
Thanks ... i definitely won't let myself make the same mistake again.
1. Find the antiderivative of 1/(x+3)^2
Okayy i knwo this is an easy problem but i COMPLETELY forget how to do it.
Ive tried using partial fractions but it doesn't seem to be working.
I just need to know how to start the problem then i should be alright from there.
Thank you!