5.3 The Fundamental Theorem of Calculus/31: Difference between revisions

Revision as of 21:24, 6 September 2022

$\int _{0}^{\frac {\pi }{4}}\sec ^{2}(t)\,dt=\tan(t){\bigg |}_{0}^{\frac {\pi }{4}}=\tan \left({\frac {\pi }{4}}\right)-\tan(0)=1-0=1$

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 <math>
-\int_{0}^{\frac{\pi}{4}}\sec^{2}(t)\,dt = \tan(t)\bigg|_{0}^{\frac{\pi}{4}=\tan\left(\frac{\pi}{4}\right)-\tan(0)=1-0=1
+\int_{0}^{\frac{\pi}{4}}\sec^{2}(t)\,dt = \tan(t)\bigg|_{0}^{\frac{\pi}{4}}=\tan\left(\frac{\pi}{4}\right)-\tan(0)=1-0=1
 </math>