That's a great mapping

Calculus Level 4

Define a function f(x)f(x) such that f(x)=x2f(x)=x^{2} for x[1,1]x \in [-1,1] and f(x)=f(1x)f(x)=f(\frac{1}{x}) for all non-zero xx.

Find f(x)dx\displaystyle \int_{-\infty}^{\infty} f(x)\, dx.


If you are looking for more such twisted questions, Twisted problems for JEE aspirants is for you!
×

Problem Loading...

Note Loading...

Set Loading...