Re: help with integration
- To: mathgroup at smc.vnet.net
- Subject: [mg121663] Re: help with integration
- From: David Skulsky <edskulsky at gmail.com>
- Date: Sat, 24 Sep 2011 22:34:13 -0400 (EDT)
- Delivered-to: l-mathgroup@mail-archive0.wolfram.com
- References: <j5hdeg$7j2$1@smc.vnet.net>
- Reply-to: comp.soft-sys.math.mathematica at googlegroups.com
Assuming[r > 0,
Integrate[
r^2*ArcCos[x/r] - x*Sqrt[r^2 - x^2], {x, Sqrt[3] y,
Sqrt[r^2 - y^2]}]]
ConditionalExpression[
y^3/3 + 2/3 r^2 Sqrt[r^2 - 3 y^2] + y^2 Sqrt[r^2 - 3 y^2] -
r^2 y (1 + Sqrt[3] ArcCos[(Sqrt[3] y)/r]) +
r^2 Sqrt[(r - y) (r + y)] ArcSec[r/Sqrt[r^2 - y^2]],
y > 0 && r > 2 y]