MAT - Paper 2014 - Q1J
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 $x$.