1. Schematic

As with any oscillator, no input is needed. It swings by itself. 

A 10 nF capacitor (C1) would lead to a tenfold increase of the frequency. 

2. Functional description

The first OP stage is an integrator (note: negative feedback loop), the second a non-inverting Schmitt trigger (note: positive feedback loop).

The wave is triangle shaped on the integrator output (IC pin 1) because the capacitor is forced to charge linearly: the current through resistor R1 is constant and the input of the OP Amp draws (virtually) no current.

The gradient x (V/ms) is calculated by the following formula (U_s would be 9V here):  

R2 and R3 determine the voltage thresholds (therefore the oscillator frequency) of the Schmitt trigger.

No reset switch for the integrator is needed, for it is part of a larger device i.e. oscillator.

3. Application

The oscillator could be part of a sound generator/synthesizer.

A triangle signal generates a very distinctive, not too unpleasant sound (triangle signals consists solely of odd harmonics: 1st, 3rd, 5th, etc.).