MTH101 Final Term Solved Set 3 by Heart Hacker

6   7 8  #57 8   1 $  n f x x
 
n


 

n d x dx nx − n n x −

n n x +

1) n n x +

6   7  #57 8   1 $ 

6   7 9  #57 8   1 $  y f g h x

u g h x

v h x dy dx =

dy du dv du dv dx

dy du dv du dv dx

dv du dy du dv dx

6   7 :  #57 8   1 $ 

6   7 ;  #57 8   1 $  x

a t dt

t











a









-  x 
a










x

6   7 <  #57 8   1 $  cf x dx =








c

f cx dx

c f x dx

6   7 =  #57 8   1 $  

 
  

 
 

 
 
/
7

y x

y x

x = x =

6   7 >  #57 8   1 $  y x and y x
  
0

x and x x and x x and x x and x