Integration by Parts (Leaving Cert Applied Maths): Flashcards

Products of two functions

Reverse of the product rule

$\int u \cdot dv = uv - \int v \cdot du$

Part to differentiate

Part to integrate

Choosing which function is $u$ (differentiate) and which is $dv$ (integrate)

Inverse trigonometric functions

Logarithmic functions

Algebraic functions

Trigonometric functions

Exponential functions

Function earlier in INLATE is $u$ (differentiate), later is $dv$ (integrate)

For composite functions - use substitution instead