The Definite Integral and Its Properties (HSC SSCE Mathematics Advanced): Flashcards

📚Flashcards
The Definite Integral and Its Properties
Sign up to keep revising.Create a free account to study more flashcards and track your progress.

Practise the cards

10 cards from this deck

Show

Sign of area when curve is above x-axis

Positive

Sign of area when curve is below x-axis

Negative

∫−aaf(x)dx\int_{-a}^{a} f(x) dx for odd function ff

00

∫−aaf(x)dx\int_{-a}^{a} f(x) dx for even function ff

2∫0af(x)dx2\int_{0}^{a} f(x) dx

∫abf(x)dx=∫acf(x)dx+\int_{a}^{b} f(x) dx = \int_{a}^{c} f(x) dx + ?

∫cbf(x)dx\int_{c}^{b} f(x) dx

∫aaf(x)dx=\int_{a}^{a} f(x) dx = ?

00

∫abf(x)dx=−\int_{a}^{b} f(x) dx = - ?

∫baf(x)dx\int_{b}^{a} f(x) dx

∫ab(f(x)+g(x))dx=\int_{a}^{b} (f(x) + g(x)) dx = ?

∫abf(x)dx+∫abg(x)dx\int_{a}^{b} f(x) dx + \int_{a}^{b} g(x) dx

∫abkf(x)dx=\int_{a}^{b} kf(x) dx = ?

k∫abf(x)dxk\int_{a}^{b} f(x) dx

If f(x)≤g(x)f(x) \leq g(x) then ∫abf(x)dx\int_{a}^{b} f(x) dx ?

≤∫abg(x)dx\leq \int_{a}^{b} g(x) dx

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

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