Nonlinear equations with tangens
Problem 5
The function $y = f(a)$ is a solution of the equation
$$ \tan{y} = ay $$
on the interval $[\frac{\pi}{2}, \frac{3\pi}{2}]$. What is the value of the integral
$$ \int_0^{1} f(x)dx? $$
The function $y = f(a)$ is a solution of the equation
$$ \tan{y} = ay $$
on the interval $[\frac{\pi}{2}, \frac{3\pi}{2}]$. What is the value of the integral
$$ \int_0^{1} f(x)dx? $$