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.

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12th Business Maths and Statistics : Chapter 2 : Integral Calculus - I : Two important properties of Integral Calculus |

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