Deducing From The Integral

Calculus Level 5

A differentiable function \(f\) is defined on the positive real numbers such that

\[\int_{1}^{xy} f(t) \, dt = y\int_{1}^{x} f(t) \, dt + x\int_{1}^{y} f(t) \, dt. \]

If \(f(1) = 3\), what is \(f(e)\)?

×

Problem Loading...

Note Loading...

Set Loading...