Siteadmin, Bureaucrats, Check users, nsAm_Govt_101RO, nsAm_Govt_101RW, nsAm_Govt_101_ta, nsJudgesRO, nsJudgesRW, nsJudges_talkRO, nsJudges_talkRW, nsTeam2RO, nsTeam2RW, nsTeam2_talkRO, nsTeam2_talkRW, oversight, Administrators
125,790
edits
Changes
Jump to navigation
Jump to search
Line 40:
Line 40: + + + + + +
improved
:<math>V = \int_0^\frac{\pi}{4} {\pi}(2 - 2\sqrt2\sec{x}\,\tan{x} + (\sec{x}\,\tan{x})^2\,dx</math>
:<math>V = \int_0^\frac{\pi}{4} {\pi}(2 - 2\sqrt2\sec{x}\,\tan{x} + (\sec{x}\,\tan{x})^2\,dx</math>
The only challenging part of this [[integral]] is the last term, which must be [[integrated by parts]]:
:<math>\int_0^\frac{\pi}{4}(\sec{x}\,\tan{x})^2\,dx</math>
[[category:mathematics]]
[[category:mathematics]]
[[category:calculus]]
[[category:calculus]]