You can solder a capacitor on top.
I think it is easier to replace the capacitor.
Removing an smd component is easy. Take a big blob of solder and heat up both sides, hold the board tilted or upside down and it falls off.
The INT is an interrupt. There is some kind of processing unit inside, called the 'dmp'. It is capable to gather samples, do some math, and and put them in the FIFO buffer (that is all inside the MPU-6050). The Arduino gets an interrupt, that there is some data in the FIFO buffer of the MPU-6050.
The MPU-6050 is a 3.3V chip, therefor als the INT signal is a 3.3V signal.
Without the FIFO and without the 'dmp' and without the INT, the MPU-6050 is like any other normal accelerator + gyro sensor. The Arduino can read raw data from it and the Arduino can do the math.
A step further is to have a complete processor inside the sensor, like this one: Adafruit 9-DOF Absolute Orientation IMU Fusion Breakout - BNO055 : ID 2472 : $34.95 : Adafruit Industries, Unique & fun DIY electronics and kits