Unit 3: INTEGRATION
Unit 3: INTEGRATION
Key unit competence
Use integration as an inverse of differentiation and then apply definite integrals tofind area of plane shapes.
Introductory activity
Two groups of students were asked to calculate the area of a quadrilateral fieldBCDA shown in the following figure:
3.4.3 Integration by parts
Many times, some functions can not be integrated directly. In that case we have
to adopt other techniques in finding the integrals. The fundamental theorem in
calculus tells us that computing definite integral of f(x) requires determining its
antiderivtive, therefore the techniques used in determining indefinite integrals arealso used in computing definite integrals.
