Evaluate : ∫₋₂¹ √(5 − 4x − x²) dx

Question

TextStandard Integrals Involving Quadratic ExpressionsDefinite Integral as Limit of a SumCBSE PYQ

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

Find : ∫ 1/(5 + 4x − x²) dx

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

Find : ∫ (5x – 3)/√(1 + 4x – 2x²) dx

∫₀^(π/6) sec²(x − π/6) dx is equal to :

Evaluate ∫_(log√2)^(log√3) 1/((eˣ + e⁻ˣ)(eˣ - e⁻ˣ)) dx