Find the exact area enclosed by the curve y x21-x2 and the

Question

Question: 1. Find the exact area enclosed by the curve y = x²(1-x)² and the x-axis.

2. Find the exact area between the curves y = x² and x = y².

3. Calculate the exact area above the graph of y = sin θ and below the graph of y = cos θ for 0 ≤ θ ≤ π/4.