Obtaining a triangle wave from a square wave using a LM324N op-amp
Now that you've drawn a schematic rather than wiring diagram the problem becomes clear.

Your integrator is an inverting type and when the input goes positive the output should go negative which it can't as there is no negative supply. Some other problems have been addressed in the other answers.

A simpler way to do this is with a pair of op-amps.



Figure 1. This pair of op-amps will generate a square and triangle waveform. For single supply operation the grounded op-amp pins would be connected to half positive supply. Source: DIY Stompboxes. 

A nice feature of this arrangement is that the integrator output will never saturate (if components are right, obviously) and frequency can be adjusted by changing R3 only.

A web search for "integrator oscillator" should get you all the info you need.



Update







simulate this circuit &ndash; Schematic created using CircuitLab

Figure 2. An oscillator for you to play with in the simulator.



Figure 3. Simulator settings.



Figure 4. Simulator result.