- $ \\\int {\\\left[ {f\\\left( x \\\right) - g\\\left( x \\\right)} \\\right]} dx\\\,\\\, = \\\int {f\\\left( x \\\right)} dx - \\\int {g\\\left( x \\\right)} dx.$
- $ \\\int {2f\\\left( x \\\right)} dx\\\, = 2\\\int {f\\\left( x \\\right)} dx.$
- $ \\\int {\\\left[ {f\\\left( x \\\right).g\\\left( x \\\right)} \\\right]} dx\\\,\\\, = \\\int {f\\\left( x \\\right)} dx.\\\int {g\\\left( x \\\right)dx} .$
- $ \\\int {\\\left[ {f\\\left( x \\\right) + g\\\left( x \\\right)} \\\right]} dx\\\,\\\, = \\\int {f\\\left( x \\\right)} dx + \\\int {g\\\left( x \\\right)} dx.$