| 1. |
y = f(x) + C, where C is an arbitrary constants,
is called the indefinite integral of  |
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| 2. |
 where
a ¹
0 |
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| 3. |
ò
(u ±
v) dx, where u and v are functions
of x, is ò
u dx ±
ò
v dx |
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| 4. |
A statement such as 
= f '(x),  ,
is called a differential equation. |
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| 5. |
The differential equation  is
a first order equation. |
| 6 |
The solution of a differential equation
which contains one or more arbitrary constants
is called the general solution of the equation.
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| 7. |
The conditions which allow you to evaluate
the arbitrary constant(s) in the general
solution of a differential equation are
the boundary conditions. |
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| 8. |
A solution to a differential equation where
the value of the arbitrary constant is known
is called a particular solution. |
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| 9. |
The definite integral  provided
that f' is the derived function of f throughout
the interval (a, b). |
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| 10. |
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. |
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Introduction
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