Integration in polar coordinates | MIT 18.02SC Multivariable Calculus, Fall 2010
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THANK YOUUUUUUUUUUUUU
lphiljipl 14 hours ago
@maplestorypl He wrote it correctly. dA becomes r dr dtheta so the integral does become 1 / r^2.
jbonn5 6 days ago
I don't know if someone already caught this but at 7:08, it's supposed to be 1/r^3, so the answer turns out to be a bit more complicated than the one he ended up with.
maplestorypl 2 weeks ago
Great videos, David. Thanks kindly!
FirstGradeCalculus 1 month ago
great video
TDOTRIX 1 month ago
@PeaceUdo I may be too late, but the angle is based on those special triangles, and specifically in this case it's the 1-1-root2 triangle. Since you know its slope is 1, the triangle can be drawn and then you will notice that the maximum angle is pi/4
Hope it helped.
Pandarchon 2 months ago
@PeaceUdo
Question a and b) The upper bound for y is y=x.
The line y = x is always at a 45 degree (pi/4) angle with the x axis.
If you dont get why, then for example lets say y = x = n (as y=x)
then
tan θ = n/n
tan θ = 1
therefore θ=45 degree (pi/4)
Jameel263 2 months ago
I just wish someone can explain how you know what theta is. How do you know its pi over four? Ugh
PeaceUdo 2 months ago
lets be real, no one did it on their own
liveabovethecrowd 3 months ago
@MyChatwin He is 28, but looks like 20! XD
gigel2006 3 months ago