The differential calculus proceeds from the general-to-specific—from a function to its derivative. Hence is not the use or application of the differential Calculus related to deduction and analysis? The integral calculus, on the other hand, proceeds in the opposite direction—from a derivative to a general function. Hence, is not the use or application of the integral calculus related to induction and synthesis? Summing up, we can see that: general-to-specific is related to deduction, analysis, and differentiation while specific-to-general is related to induction, synthesis, and integration.
