Integration involving inverse trigonometric functions (HSC SSCE Mathematics Extension 1): Quizzes
📚Quizzes
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10 questions from this quiz
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Practise the questions
10 questions from this quiz
What is the range of sin^-1(x)?
What is the range of sin^-1(x)?
[-π/2, π/2]
What is the derivative of cos^-1(x)?
What is the derivative of cos^-1(x)?
-1/√(1-x^2)
What is the domain of tan^-1(x)?
What is the domain of tan^-1(x)?
All real x
What is the integral of 1/(a^2+x^2)?
What is the integral of 1/(a^2+x^2)?
1/a tan^-1(x/a) + C
What is the range of the function cos^-1(x)?
What is the range of the function cos^-1(x)?
[0, π]
What is the integral of 1/√(a^2-x^2) dx?
What is the integral of 1/√(a^2-x^2) dx?
sin^-1(x/a) + C
What is the derivative of sin^-1(x)?
What is the derivative of sin^-1(x)?
1/√(1-x^2)
What is the integral of 1/(a^2 - x^2) dx?
What is the integral of 1/(a^2 - x^2) dx?
1/a tanh^-1(x/a) + C
What is the behavior of the function sin^-1(x) on its domain?
What is the behavior of the function sin^-1(x) on its domain?
Always increasing
What is the application of tan^-1(x)?
What is the application of tan^-1(x)?
Finding angles in triangles