• Unit 3: INTEGRATION

    Key unit competence

    Use integration as an inverse of differentiation and then apply definite integrals to find area of plane shapes.

    Introductory activity




    3. 1 Differential of a function



    3.2 Anti-derivatives

    3.3 Indefinite integrals

    3.4. Techniques of integration

    3.4.1 Basic integration formulae

    3.4.2 Integration by changing variables

    3.4.3 Integration by parts


    When we integrate, we can find some functions which can’t be integrated immediately by using integration by changing variable method. To overcome that problem, you should use integration by parts or partial integration technique. In this, you have to find the integral of a product of two functions in terms of the integral of their derivative and anti-derivative.

    3.5 Applications of indefinite integrals

    3.6 Definite integrals

    3. 6.1 Definition and properties of definite integrals

    3.6.2 Techniques of Integration of definite integrals



    3.6.3 Applications of definite integrals

    End unit assessment


    UNIT2: LOGARITHMIC AND EXPONENTIAL FUNCTIONSUnit 4. ORDNINARY DIFFERENTIAL EQUATIONS