Evaluate : ∫₀^(π/2) sin 2x cos 3x dx

Free previous-year papers & practice for JEE, NEET and CBSE Boards.

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Indefinite Integral and Its Properties, Evaluation of Definite Integrals by Substitution Method | PadhAiPro

Question

TextIndefinite Integral and Its PropertiesEvaluation of Definite Integrals by Substitution MethodCBSE PYQ

Find : ∫ x √(1 + 2x) dx

Evaluate : ∫₀^(π²/4) (sin √x)/√x dx

Evaluation of Definite Integrals by Substitution Method

Evaluate : ∫₀^(π/2) sin 2x tan⁻¹(sin x) dx

Find : ∫ (e⁴ˣ – 1)/(e⁴ˣ + 1) dx

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

Evaluate : ∫₀^π e^(cos x)/(e^(cos x) + e^(−cos x)) dx