MAT - Paper 2014 - Q1J

2021-09-18
1 min read

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 $x$.


Metadata
date: 2021-09-18 18:01
summary: what can you deduce about the area of this weird, self-area function?
tags:
- '@?public'
- '@?mat'
- '@?notes'
- '@?maths'
title: MAT - Paper 2014 - Q1J