Integration 2 (AQA A-Level Further Maths): Quizzes

📚Quizzes
Hyperbolic Functions
Sign up to keep practising.Create a free account to play more quizzes and track your progress.

Practise the questions

10 questions from this quiz

Show

What is d(sinhx)dx\frac{\text{d}(\sinh x)}{\text{d}x}?

coshx\cosh x

What is d(tanhx)dx\frac{\text{d}(\tanh x)}{\text{d}x}?

sech2x\operatorname{sech}^2 x

How do hyperbolic derivatives differ from trigonometric derivatives?

No sign changes occur

What is the definition of sechx\operatorname{sech} x?

1coshx\frac{1}{\cosh x}

What is d(sechx)dx\frac{\text{d}(\operatorname{sech} x)}{\text{d}x}?

sechxtanhx-\operatorname{sech} x \tanh x

What is coshxdx\int \cosh x \, \text{d}x?

sinhx+c\sinh x + c

What is tanhxdx\int \tanh x \, \text{d}x?

lncoshx+c\ln \cosh x + c

What is d(arsinh x)dx\frac{\text{d}(\text{arsinh } x)}{\text{d}x}?

1x2+1\frac{1}{\sqrt{x^2 + 1}}

For integrals with x2+a2\sqrt{x^2 + a^2}, which substitution should you use?

x=asinhux = a\sinh u

For integrals with x2a2\sqrt{x^2 - a^2}, which substitution should you use?

x=acoshux = a\cosh u

Join 100,000+ A-Level students studying Quizzes with us.

Select your subjects, and get access to A+ resources today.