Integrals of the type ∫f(x)(f(x))^n dx (HSC SSCE Mathematics Extension 1): Quizzes
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Practise the questions
10 questions from this quiz
What is the integral of f'(x)(f(x))^n?
What is the integral of f'(x)(f(x))^n?
Area under the curve
What substitution is used in integrals?
What substitution is used in integrals?
u = f(x)
What does du represent in substitution?
What does du represent in substitution?
f'(x)dx
What is the result of ∫ f'(x) dx?
What is the result of ∫ f'(x) dx?
f(x) + C
For n = -1, what is the integral form?
For n = -1, what is the integral form?
∫ 1/f(x) dx
What is the first step in substitution?
What is the first step in substitution?
Choose u = f(x)
What type of functions can substitution handle?
What type of functions can substitution handle?
All types
What is the integral of 2x(x^2 + 1)^3?
What is the integral of 2x(x^2 + 1)^3?
1/4(x^2 + 1)^4 + C
What is the integral of e^(2x)(e^(2x) + 1)^-2?
What is the integral of e^(2x)(e^(2x) + 1)^-2?
-1/2(e^(2x) + 1) + C
What is the integral of sin(x)(sin(x) + 2)^2?
What is the integral of sin(x)(sin(x) + 2)^2?
1/3(sin(x) + 2)^3 + C