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1.
The value of the integral 
is equal to
is equal to
2.
If 
and 
are two points on the curve 
and if 
is the gradient of the curve at point 
, then the value of the integral 
, is
and are two points on the curve and if is the gradient of the curve at point , then the value of the integral , is
3.
4.
If 
, then 
equals
, then equals
5.
The value of the integral 
6.
The value of the integral 
, is
, is
7.
If 
, then 
equals
, then equals
8.
If 
, then 
is equal to
, then is equal to
9.
The value of 
where
denotes the greatest integer not exceeding 
, is
wheredenotes the greatest integer not exceeding , is
10.
If 
for all 
and 
, then the value of 
is
for all and , then the value of is