Last updated on Sep 20, 2026

Applications of Integration (VCE SSCE Mathematical Methods): Flashcards

Applications of Integration

Practise the cards

10 cards from this deck

$\frac{1}{b-a}\int_a^b f(x)\,dx$

Height of rectangle with same area as region under curve

Area ÷ Width

Works backwards to find total change

$\frac{dt}{dT}$

Total time for that temperature change

$\frac{4}{3}$

Decreasing quantities

All tiny changes that happen continuously

Explore VCE SSCE Mathematical Methods Revision Notes by Topics

Explore VCE SSCE Mathematical Methods Model Answers by Topics

Explore VCE SSCE Mathematical Methods Quizzes by Topics

Explore VCE SSCE Mathematical Methods Exam Questions by Topics

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

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

Applications of Integration (VCE SSCE Mathematical Methods): Flashcards

Practise the cards

Formula for avg value of fff on [a,b][a,b][a,b]

Geometric meaning of average value

Average value formula interpretation

What integration does with rates of change

Reciprocal of dTdt\frac{dT}{dt}dtdT​

Integrating dtdT\frac{dt}{dT}dTdt​ over temp range gives

Avg value of f(x)=x2f(x)=x^2f(x)=x2 on [0,2][0,2][0,2]

What rectangle at avg height shares with curve

Negative signs in rate problems indicate

Integration accumulates

Explore VCE SSCE Mathematical Methods Revision Notes by Topics

Estimating the Area Under a Graph

Antidifferentiation: Indefinite Integrals

Two Antiderivatives

The Fundamental Theorem of Calculus and the Definite Integral

Finding the Area Under a Curve

Integration of Circular Functions

Miscellaneous Exercises

Signed Area

The Area of a Region Between Two Curves

Applications of Integration

The Area of a Region Between Two Curves

Applications of Integration

Explore VCE SSCE Mathematical Methods Model Answers by Topics

Estimating the Area Under a Graph

Antidifferentiation: Indefinite Integrals

Two Antiderivatives

The Fundamental Theorem of Calculus and the Definite Integral

Finding the Area Under a Curve

Integration of Circular Functions

Miscellaneous Exercises

Signed Area

The Area of a Region Between Two Curves

Applications of Integration

The Area of a Region Between Two Curves

Applications of Integration

Explore VCE SSCE Mathematical Methods Quizzes by Topics

Estimating the Area Under a Graph

Antidifferentiation: Indefinite Integrals

Two Antiderivatives

The Fundamental Theorem of Calculus and the Definite Integral

Finding the Area Under a Curve

Integration of Circular Functions

Miscellaneous Exercises

Signed Area

The Area of a Region Between Two Curves

Applications of Integration

The Area of a Region Between Two Curves

Applications of Integration

Explore VCE SSCE Mathematical Methods Exam Questions by Topics

Estimating the Area Under a Graph

Antidifferentiation: Indefinite Integrals

Two Antiderivatives

The Fundamental Theorem of Calculus and the Definite Integral

Finding the Area Under a Curve

Integration of Circular Functions

Miscellaneous Exercises

Signed Area

The Area of a Region Between Two Curves

Applications of Integration

The Area of a Region Between Two Curves

Applications of Integration

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

Formula for avg value of $f$ on $[a,b]$

Reciprocal of $\frac{dT}{dt}$

Integrating $\frac{dt}{dT}$ over temp range gives

Avg value of $f(x)=x^2$ on $[0,2]$