Indefinite integrals and substitution (HSC SSCE Mathematics Extension 1): Quizzes
📚Quizzes
Practise the questions
10 questions from this quiz
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Practise the questions
10 questions from this quiz
What is an indefinite integral?
What is an indefinite integral?
A set of related functions
What does the constant C represent?
What does the constant C represent?
An arbitrary constant
What is the purpose of substitution?
What is the purpose of substitution?
To simplify complex integrals
What is the first step in substitution?
What is the first step in substitution?
Choose a new variable
What is the integral of sqrt(4x + 1)?
What is the integral of sqrt(4x + 1)?
1/6(4x + 1)^(3/2) + C
What substitution is used for sqrt(4-x^2)?
What substitution is used for sqrt(4-x^2)?
x = 2sin(theta)
What is the integral of cos(x)^2?
What is the integral of cos(x)^2?
x/2 + sin(2x)/4 + C
What is the significance of indefinite integrals?
What is the significance of indefinite integrals?
They find antiderivatives
What is a common substitution for x^2 + 1?
What is a common substitution for x^2 + 1?
u = x^2 + 1
What is the result of integrating 1/sqrt(u)?
What is the result of integrating 1/sqrt(u)?
2sqrt(u) + C