Question

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

Find : ∫ (2x + 1)/((x + 1)²(x − 1)) dx

If ∫₋₂³ x² dx = k∫₀² x² dx + ∫₂³ x² dx, then the value of k is :

Find : ∫ (x³ – 1)/(x³ – x) dx