Saturday, 24 October 2015

calculus - Evaluate intpi0sin5thetacos2thetadtheta

I'm trying to find the mass of a spherical object with a given density function, and to do so I must solve this integral π0sin5θcos2θ dθ,



but no matter which method I choose (integration by parts, substitution, etc) I can't for the life of my figure out the anti-derivative.

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real analysis - How to find limhrightarrow0fracsin(ha)h

How to find limh0sin(ha)h without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...