INTEGRATION | DIFFERENTIATION |
1. Integration sums up all small areas lying under a curve and determines the total area. | 1. Differentiation is the process by which the rate of change of a curve is determined. |
2. Integral calculus adds all the pieces together. | 2. Differential calculus deals with the process of dividing something to understand or calculate the changes. |
3. Integration deals with the distance traveled by the function and the area between the function and x-axis | 3. Differentiation calculates the speed and the slope of the function |
4. Integration is used to find out areas, volumes, and central points. | 4. Differentiation is used to determine if a function is increasing or decreasing, and the calculation of instantaneous velocity. |
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