# MAT - Paper 2014 - Q1J

> Source: https://ollybritton.com/notes/maths/problems/mat/2014/q1j/ · Updated: 2021-09-18 · Tags: mat, notes, maths

## Flashcards
### 2021-09-18
##### The expression $$6 + f(x) = 2f(-x) + 3x^2\left( \int^1_{-1} f(t) \text{d}t \right)$$ holds for all real values of $x$. You're struggling to get this to an $f(x) = ...$. What could you try instead??
Don't worry about rearranging it, just integrate both sides.

##### When can you integrate or differentiate both sides of something??
When it's equivalence // It holds for all values of $x$.

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