- $ \\\int {kf\\\left( x \\\right)dx = k\\\int {f\\\left( x \\\right)dx\\\,\\\,\\\left( {k \\\in R} \\\right)} }$ .
- $ \\\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 {{f^m}\\\left( x \\\right)f'\\\left( x \\\right)dx = \\\frac{{{f^{m + 1}}\\\left( x \\\right)}}{{m + 1}} + C}$ .
- $ \\\int {f\\\left( x \\\right).g\\\left( x \\\right)dx = \\\int {f\\\left( x \\\right)dx.\\\,\\\int {g\\\left( x \\\right)dx} \\\,} }$ .