cos cot   ec2 xdx x c , since cot cos  d s ec2x dx Note that we shall consider integration of tan x, cot x, sec x and cosec x afterwards. 1.9 Addition and subtraction Rule in Integration d d d d dx (u dx dx dx    v w) u v Just like w ,     we have (u     v w)dx udx vdx wdx , where u, v, w are functions of x. For example 2 x x3 = 3 cos  x ex c 1.10 Integration of constant a function (  kf x)dx k For example 5x4 3 3 8cos 8  xdx Example 1  Find (2x5 3ex 4x 5)dx    9 Solution 5 5 x x 2x6 4x2 = 6 2 5x x   c x6 = 3 3ex 2x2 5x     c We should put one constant c after the process of integration.
cos ec2 xdx  cot x  c , since d cot s  cos ec2x dx Note that we shall consider integration of tan x, cot x, sec x and cosec x afterwards. 1.9 Addition and subtraction Rule in Integration Just like d dx (u  v w)  d dx u  d dx v d dx w , we have (u  v w)dx  udx  vdx wdx , where u, v, w are functions of x. For example 2 x = x3 3 cos x ex  c 1.10 Integration of constant a function kf ( x)dx  k For example 3 3 5x4 8cos xdx  8 Example 1 Find (2x5  3ex  4x  5)dx 9 Solution 5 x 5 x = 2x6 6 x 4x2 2  5x  c = x6 3  3ex  2x2  5x  c We should put one constant c after the process of integration.      
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