y
= f(x) + C, where C is an arbitrary
constant, is called the indefinite integral
of
= f '(x)
2.
where
a ¹
0
3.
ò
(u ±
v) dx, where u and v are functions
of x, is ò
u dx ±
ò
v dx
4.
A
statement such as
= f '(x), ,
is called a differential equation.
5.
The
definite integral provided
that f' is the derived function of
f throughout the interval (a, b)
6.
The area of the region bounded by the
curve y = f(x), the ordinates x=a and
x=b and the x-axis can be found by evaluating
the definite integral
dx, when it exists.