methods / antidiff.mdon commit antidifferentiation & applications (914c650)
   1# Antidifferentiation
   2
   3If $F'(x)=f(x)$, then $\int f(x) \cdot dx = F(x) + c$
   4
   5$$\int x^n \cdot dx = {x^{n+1} \over {n+1}} + c, \quad n \in \mathbb{N} \cup \{0\}$$
   6
   7Rules:
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   9$\int [f(x) \pm g(x)] \cdot dx = \int f(x) \cdot dx \pm \int g(x) \cdot dx$  
  10$\int kf(x) \cdot dx = k \int f(x) \cdot dx$, where $k \in \mathbb{R}$
  11
  12## Applications of differentiation to kinematics
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  14Kinematics - straight line motion of a particle
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  16Instantaneous velocity - dx/dt