Question

What is integration give some examples

Answer 1

In mathematics , integration is a technique of finding a function g(x) the derivative of which, Dg(x), is equal to a given function f(x). This is indicated by the integral sign “∫,” as in ∫f(x), usually called the indefinite integral of the function. The symbol dx is usually added, which merely identifies x as the variable.The definite integral, is written with a and b called the limits of integration, is equal to g(b) − g(a), where Dg(x) = f(x). Examples are - ......Common Functions Function Integral Constant ∫a dx ax + C Variable ∫x dx x2/2 + C Square ∫x2 dx x3/3 + C Reciprocal ∫(1/x) dx ln|x| + C Exponential ∫ex dx ex + C ∫ax dx ax/ln(a) + C ∫ln(x) dx x ln(x) − x + C