Psi Integral! (12)

Calculus Level 4

\[\large A = \displaystyle \int_0^{{\pi} / {2}} \frac{\psi (x)}{\psi (x) + \psi \left(\frac{\pi}{2} - x \right)} \, dx \]

  • Compute \(\lfloor A \times 1000 \rfloor\).

  • For your final step of your calculation, use the approximation \( \pi = \dfrac{22}7 \).

Notations:

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