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MATH 241 · Week 6Hold steady — burst a few if the board is wide
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Calculus IIIMATH 241
Integration by parts
Trig substitution
Physics IIPHYS 212
Lab 3 — RC circuits
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Week 6 — Integration
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That's integration by parts — setup, worked steps and a check, filed under Calculus III.
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Integration by Parts
Use it when a product has one half that gets simpler as you differentiate it.
∫ x ex dx = (x − 1)ex + C
- u = x, dv = exdx
- uv − ∫ v du leaves a simpler integral
- Check by differentiating back
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