Integration by parts is a powerful technique for integrating products of functions, which is based upon the product rule for differentiation. It allows us to transform the integral of a product into simpler integrals that we can evaluate more easily.
Fundamental Formula
Use for differentiable functions u and v:
∫udv=uv−∫vdu
For definite integrals from a to b:
∫abudv=[uv]ab−∫abvdu
Choose u using LIATE (Logarithmic, Inverse trigonometric, Algebraic, Trigonometric, Exponential).
Rahil spent ten years working as private tutor, teaching students for GCSEs, A-Levels, and university admissions. During his PhD he published papers on modelling infectious disease epidemics and was a tutor to undergraduate and masters students for mathematics courses.
Oxford University - PhD Mathematics
Rahil spent ten years working as private tutor, teaching students for GCSEs, A-Levels, and university admissions. During his PhD he published papers on modelling infectious disease epidemics and was a tutor to undergraduate and masters students for mathematics courses.
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