Definite integrals and substitution (HSC SSCE Mathematics Extension 1): Quizzes
📚Quizzes
Practise the questions
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Practise the questions
10 questions from this quiz
What does a definite integral represent?
What does a definite integral represent?
Area under a curve
What is the purpose of substitution in integrals?
What is the purpose of substitution in integrals?
To simplify integrals
How do you change limits in substitution?
How do you change limits in substitution?
Convert using new variable
What happens when you reverse limits of integration?
What happens when you reverse limits of integration?
Sign of integral changes
What is a common substitution for sin²(x)?
What is a common substitution for sin²(x)?
1 - cos(2x)/2
What is the result of ∫(3x + 1)dx from 2 to 5?
What is the result of ∫(3x + 1)dx from 2 to 5?
8
What does ∫_a^b f(x)dx measure?
What does ∫_a^b f(x)dx measure?
Total change
What is the first step in substitution?
What is the first step in substitution?
Choose a substitution
What is the integral of 1/sqrt(1-x²)?
What is the integral of 1/sqrt(1-x²)?
arcsin(x) + C
What does the definite integral help calculate?
What does the definite integral help calculate?
Areas and volumes