Stretchy Calculus

Stretchy Calculus

These calculus resources all encourage you to think about transformations. 

Slippery Areas 

Age 16 to 18 Challenge Level:
Can you find the definite integral of a transformed function?

Sine Stretching 

Age 16 to 18 Challenge Level:
Can you find the gradient function of $\sin 3x$. How did you convince yourself?

Trigsy Integrals 

Age 16 to 18 Challenge Level:
What different ways can you find to calculate these integrals?

Stretching an Integral 

Age 16 to 18 Challenge Level:
What happens to areas under the graph of $\frac{1}{x}$ when they are stretched?