📘 Integral Calculus

1. **Problem:** Evaluate the integral $$\int_0^{\frac{\pi}{2}} \cos^2 x \sin^6 x \, dx$$. 2. **Formula and rules:** We use the Beta function relation for integrals of the form $$\i

1. **State the problem:** We are given two curves: $x=2\sqrt{y}$ and $y=2\sqrt{x}$.