FURTHER MATHEMATICS SSS2 THIRD TERM

WEEK 8

INTEGRATION (INDEFINITE INTEGRAL, DEFINITE INTEGRAL AND AREA UNDER CURVE

Content

The process of reversing differentiation is called Integration. If dy/dx = 3x², then y could be x³, as the derivative of x³ is 3x².

We say that x³ is an integral of 3x² with respect to x. The symbol for integration sign is given by ∫  . The expression to be integrated is put between the  ∫ sign and dx.

∫  3x2 dx could be x³

Since differentiating any constant gives zero, the following also have derivation 3x².

X³ + 2,  x³ + 4.5,  x³ – 17etc

In general, any function of the form x3 + c, where c is the constant has derivative of 3x²

Hence, ∫  3x² dx = x³ + C. C is called constant of integration. Because we do.... View More