alleryIntegration by parts formula:
A∫ uv = u + v
B∫ uv dx = ∫u ∫v
C∫ u dv = uv - ∫ v du
D∫ u + v dx = u v
Answer & Solution
Correct answer: C. ∫ u dv = uv - ∫ v du
∫ u dv = uv - ∫ v du.
From product rule of derivatives.
Choose u = part that simplifies on differentiation, dv = part easy to integrate.
**Mnemonic LIATE for picking u:** Logarithmic, Inverse trig, Algebraic, Trig, Exponential.
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