Two important properties of Integral Calculus

Two important properties of Integral Calculus

(i) if k is any constant, then ∫ k f (x ) dx = k ∫ f (x) dx

(ii) if f ( x) and g ( x) are any two functions, then

 ∫ [f (x) ± g (x)] dx = ∫ f (x) dx ± ∫ g (x) dx

Methods of Integration

The following are the four principal methods of integration.

(i)   Integration by decomposition.

(ii) Integration by parts.

(iii) Integration by substitution.

(iv) Integration by successive reduction.