# Stretchy Calculus

## Stretchy Calculus

These calculus resources all encourage you to think about transformations.

### Slippery Areas

##### Stage: 5 Challenge Level:

Can you find the definite integral of a transformed function?

### Sine Stretching

##### Stage: 5 Challenge Level:

Can you find the gradient function of $\sin 3x$. How did you convince yourself?

### Trigsy Integrals

##### Stage: 5 Challenge Level:

What different ways can you find to calculate these integrals?

### Stretching an Integral

##### Stage: 5 Challenge Level:

What happens to areas under the graph of $\frac{1}{x}$ when they are stretched?