Areas and the Definite Integral (HSC SSCE Mathematics Advanced): Quizzes

📚Quizzes
Areas and the Definite Integral
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 are the two fundamental principles underlying all area calculations?

Rectangle area & dissection unchanged

In Leibnitz notation, what does the symbol ∫\int represent?

An elongated S for 'Sum'

In the definite integral ∫abf(x) dx\int_a^b f(x) \, dx, what is f(x)f(x) called?

The integrand

What are aa and bb called in ∫abf(x) dx\int_a^b f(x) \, dx?

Lower and upper limits (or bounds)

What is ∫14(x−1) dx\int_1^4 (x - 1) \, dx equal to?

92\frac{9}{2}

Evaluate ∫−22∣x∣ dx\int_{-2}^2 |x| \, dx using geometry.

44

What is ∫−5525−x2 dx\int_{-5}^5 \sqrt{25 - x^2} \, dx equal to?

25π2\frac{25\pi}{2}

Where does the true value of an integral lie relative to rectangle approximations?

Between lower and upper rectangle sums

What happens to bounds as the number of rectangles increases in approximations?

They get progressively tighter

What is the approximate area of a thin strip at position xx with width δx\delta x?

f(x)δxf(x) \delta x

Join 100,000+ SSCE students studying Quizzes with us.

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