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azadsbpisb INTEGRATION BASIC CONCEPTS 1 Integration is an inverse process of differentiation: 2 Indefinite Integral of algebraic expression: a) b) 3 Definite Integral of algebraic expression: = F (b) – F (a) 1. = k 2. = 3. = 4. =0 5. EXAMPLES OF INTEGRATION 1 = [4(3) - 4(2)] = 4 2 3 1) Given the gradient function, Find the equation of the curve , y = f(x) APPLICATIONS PROPERTIES OF DEFINITE INTEGRAL A = A = 2) AREA 3) VOLUME OF REVOLUTION

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azadsbpisb

INTEGRATION

BASIC CONCEPTS1 Integration is an inverse process

of differentiation:

2 Indefinite Integral of algebraic expression:a)

b)

3 Definite Integral of algebraic expression:

= F (b) – F (a)

1. = k

2. =

3. =

4. =0

5.

EXAMPLES OF INTEGRATION1

= [4(3) -

4(2)] = 4

2

3

1) Given the gradient function,

Find the equation of the curve , y = f(x)

Use : y =

APPLICATIONSPROPERTIES OF DEFINITE

INTEGRAL

A =

A =

2) AREA

3) VOLUME OF REVOLUTION