Integration by substitution (HSC SSCE Mathematics Extension 2): Quizzes
📚Quizzes
Practise the questions
10 questions from this quiz
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Practise the questions
10 questions from this quiz
What is the purpose of integration by substitution?
What is the purpose of integration by substitution?
To change variables for easier integrals
What does the chain rule relate to in integration?
What does the chain rule relate to in integration?
Differentiating complex functions
What is the first step in substitution?
What is the first step in substitution?
Choose a substitution u = g(x)
What is a common mistake in substitution?
What is a common mistake in substitution?
Forgetting to adjust dx
What is trigonometric substitution used for?
What is trigonometric substitution used for?
Integrals with square roots
What should you do after solving an integral?
What should you do after solving an integral?
Convert back to original variable
What is a good choice for u in integration?
What is a good choice for u in integration?
Inner functions with derivatives
What is the integral of (2x+1)^5 dx?
What is the integral of (2x+1)^5 dx?
1/12 (2x+1)^6 + C
What does du represent in substitution?
What does du represent in substitution?
The derivative of u
What is the integral of x sqrt(x^2 + 1) dx?
What is the integral of x sqrt(x^2 + 1) dx?
1/3 (x^2 + 1)^(3/2) + C