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Line 34:
Line 34: + + + + + +
improved
:<math>r = \sqrt 2 - \sec{x}\,\tan{x}</math>
:<math>r = \sqrt 2 - \sec{x}\,\tan{x}</math>
The volume then becomes:
:<math>V = \int_0^\frac{\pi}{4} {\pi}(\sqrt 2 - \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>
[[category:mathematics]]
[[category:mathematics]]
[[category:calculus]]
[[category:calculus]]