Integration

Integration

1. Areas enclosed by the x-axis

   • Areas above the x-axis:
     • Definite integral formula （只Integration时直接这个公式）→
   • Areas below x-axis: taking the absolute value (make it positive)
   • Areas part above the x-axis and part under it: calculate separately then add them together ↑
   • Even & Odd function: → 只是Integration 不是求Area
     • 要求面积的话再分开算Area above  or  below   x-axis.

2. Areas enclosed by the y-axis

   • Areas on the right-hand side of the y-axis: (b&a are y values)→
     • Definite integral formula （只Integration时直接这个公式）↓
   • Areas on the left-hand side of the y-axis: (take the absolute value)
   • Areas part on the left and part on the right: calculate separately then add them together

3. Sums and Differences of Areas

   • Calculate them separately then add them or subtract each other
   • Top function subtract bottom one

Images and files in the map