Question

Given d/dx F(x) = 1/√(2x – x²) and F(1) = 0, find F(x).

Find : ∫ cos³ x e^(log sin x) dx

Find : ∫ dx/(cos x √(cos 2x))

If d/dx [f(x)] = ax + b and f(0) = 0, then f(x) is equal to