With examples please explain me integral and differential calculus in detail

Differential calculus is used to calculate the rate of change of a function with respect to a variable.

Eg let a function be f = xⁿ Thus df/dx will give rate of change of f with respect of x.

df/dx = nx^n-1

Integration on the other hand is a reverse process.

In this process we find the area under the curve of a function eg going on with the same function f if we integrate it from x = 1 to x = 2 then it will give us the area under the curve between the limits