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`int_0^(pi/4) sec^2(t) dt`
Take note that the derivative of tangent is d/(d theta) tan (theta)= sec^2 (theta).
So taking the integral of sec^2(t) result to:
`= tan (t) |_0^(pi/4)`
Plug-in the limits of integral as follows `F(x)=int_a^b f(x) dx= F(b)-F(a)` .
Therefore, `int_0^(pi/4) sec^2(t) dt = 1` .
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