# Fundamentally different

Calculus Level 4

$\large \begin{cases} { \displaystyle F(x) = \int_0^x \sec^2 t \, dt } \\ { \displaystyle G(x) = \int_0^x F(t) \, dt } \end{cases}$

We are given the two integrals above. Evaluate $$\displaystyle \int_{-\pi /2}^{\pi /2} G(x) \, dx$$. Give your answer to 3 decimal places.

×