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Key Word Of Integration
Integration is a strategy for adding or summarizing the parts to track down the entirety. It is an opposite course of separation.
Definition Of Integration
If f and g are functions of x such that g’(x) = f(x) , then the function g is called a anti-derivative ( or primitive functions or simply integral ) of f with respect to x. It is written symbiotically, The inverse process of differentiation is called integration. Let g (x)be a differentiable function of x such that d/dz(g(x) + c) = f (x) Then ∫f (x) dx = g(x)+c Thus g(x) is called a primitive or anti-derivative or an indefinite integral or simply integral of f (x) with respect to x, where f (x) is called the integrand, c is called the constant of integration.
Formulas for remainder
Exercise
Fundamental of indefinite Integral
Therefore, in light of this definition and different standard separation formulas,we get the accompanying joining formulae
Significant focuses connected with an Integration
1.∫ k f(x) dx = k ∫ f(x) dx , where k is consistent. for example the essential of the result of a capacity = the consistent x necessary of the capacity.
2.∫( f_1 (x)≠f_2 (x)≠ ………….≠ f_2 (x) )dx = ∫( f_1 (x)dx ≠f_2 (x)dx ≠ ………….≠ f_n (x) )dx for example the essential of the total or distinction of a limited number of capacities is equivalent to the aggregate or contrast of the integrals of the different capacities.
