Differentiation involves determination of the slope, i.e. the derivative, of a function. The slope of a function at a point is a straight line that is tangent to that function at that point, and is the line defined by the limit of two points on the original curve, one of those two points being the point in question, as their distance between each other becomes zero. There are several things you can do with derivatives, not the least of which is aid in plotting functions and finding various minima and maxima.
Integration involves determination of the inverse-slope, i.e. the integral, of a function. The integral of a function is another function whose derivative is the first function. There are several things you can do with integrals, not the least of which is finding the area or volume under or in a curve or shape.
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integration is reverse of differentiation and vice versa
An integral and an anti-derivative are the same thing. Integration means the process of finding the integral, just as anti-differentiation means the process of finding the anti-derivative.
Integration and differentiation effectively un-do each other. The derivative of the integral of a function is usually the original function. The reverse is also true, to a point.
A differential is the result gained when mathematical differentiation is applied to a function. Differentiation in maths is the function which finds the gradient of a function in terms of x. Differentiation in biology is the specialisation of unspecialised cells such as stem cells into active cells.
Interrogation is where you force someone to tell you and integrate is totally the opposite