5.3 The Fundamental Theorem of Calculus/31

Evaluate the integral

$\int _{0}^{\frac {\pi }{4}}sec^{2}(t)dt$

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