# MAT - Paper 2011 - Q1G

> Source: https://ollybritton.com/notes/maths/problems/mat/2011/q1g/ · Updated: 2021-08-09 · Tags: notes, maths, mat

## Flashcards
##### If you know $$-1 \le x \le 1$$, what are the bounds for $$a \le x^2 - 1 \le b$$??
$$
-1 \le x^2 - 1 \le 0
$$

##### How could you rewrite $$\int^{b}_{a} f(x-1) \text{d}x$$??
$$
\int^{b+1}_{a+1} f(x) \text{d}x
$$

##### How could you rewrite $$\int^{b}_{a} f(x+1) \text{d}x$$??
$$
\int^{b-1}_{a-1} f(x) \text{d}x
$$

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