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Calculus · INT

Integration by Parts — ∫u dv = uv − ∫v du

∫u dv = uv − ∫v du. Choose u by LIATE order (Log, Inverse trig, Algebraic, Trig, Exponential).

CalculusCommon Core FUN-6.EINTVerified correct ✓

Worked examples

Find ∫x^2·sin(-x) dx (omit + C).
Answer: x**2*cos(x) - 2*x*sin(x) - 2*cos(x)
Find ∫x^2·cos(3x) dx (omit + C).
Answer: x**2*sin(3*x)/3 + 2*x*cos(3*x)/9 - 2*sin(3*x)/27

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