1. Schematic
As with any oscillator, no input is needed. It swings by itself.
Decreasing capacitor C1 to a 10 nF value would lead to a tenfold increase of the frequency.
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2. Functional description
The first OP stage is an integrator (negative feedback loop), the second a non-inverting Schmitt trigger (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.).