Integration by parts (HSC SSCE Mathematics Extension 2): Quizzes
📚Quizzes
Practise the questions
10 questions from this quiz
ShowHide
Practise the questions
10 questions from this quiz
What is the formula for integration by parts?
What is the formula for integration by parts?
∫u dv = uv - ∫v du
What does LIATE stand for in choosing u?
What does LIATE stand for in choosing u?
Logarithmic, Inverse, Algebraic, Trig, Exponential
When is repeated integration by parts used?
When is repeated integration by parts used?
When one round isn't enough
What is the first step in integration by parts?
What is the first step in integration by parts?
Choose u and dv
What is a common application of integration by parts?
What is a common application of integration by parts?
Integrating logarithmic functions
What is the result of ∫x e^x dx?
What is the result of ∫x e^x dx?
xe^x - e^x + C
What is the purpose of substitution in integration?
What is the purpose of substitution in integration?
To simplify complex integrals
What does the product rule in differentiation lead to?
What does the product rule in differentiation lead to?
Integration by parts
What is crucial in integration by parts?
What is crucial in integration by parts?
Choosing u and dv correctly
What is a recurrence relation in integration?
What is a recurrence relation in integration?
A repeated application of integration
