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Reduction formula example: ∫ sinⁿ x dx (for n ≥ 2) =

A-sinⁿ⁻¹ x cos x / n + (n-1)/n × ∫ sinⁿ⁻² x dx
Bsinⁿ⁻¹ x
C∫ cos x dx
Dsin x × n
Answer & Solution
Correct answer: A. -sinⁿ⁻¹ x cos x / n + (n-1)/n × ∫ sinⁿ⁻² x dx
Standard reduction formula. Reduces ∫ sinⁿ x to ∫ sinⁿ⁻² x recursively until n = 0 or 1 (base cases). Same idea for cosⁿ, tanⁿ, secⁿ.
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