For example 11 10  c    c 9 1.7 (B) Basic Formulae for Integration of Exponential functions. a 3. x x   e dx e c  x x 4. For example 2x x ln 2  c  5x 5x dx  c ln 1.8 (C) Basic Formulae for Integration of Trigonometric functions  d cos sin   xdx x c since , dx 5. (sin cos   x c) x 8  6. sin cos    xdx x c , since (cos sin dxd x  c)  x  7. sec  tan  xdx x c , since (tan sec2   d x c) x dx 2 d tan sec 8.   , since x xdx x c dx (sec   sec tan x c) x x d  cos cot cos 9.   , since ecx xdx ecx c dx (cos cos cot   ecx c) ecx x  10.
For example 10 11  c  9  c 1.7 (B) Basic Formulae for Integration of Exponential functions. 3. x a x 4. e x dx  e x  c For example x 2x ln 2  c 5x dx  5x ln c 1.8 (C) Basic Formulae for Integration of Trigonometric functions 5. cos xdx  sin x  c , since d dx (sin x  c)  cos x 8 6. sin xdx  cos x  c , since dxd (cos x  c)  sin x 7. sec 2 xdx  tan x  c , since d (tan x  c)  sec2 x dx 8. x tan xdx  sec x  c , since d dx (sec x  c)  sec x tan x 9. cos ecx cot xdx  cos ecx  c , since d dx (cos ecx  c)  cos ecx cot x 10.         
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