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Contents
Indefinite Integrals
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Indefinite Integrals  Given
the equation y = x2 +1, differentiating
gives dy/dx = 2x
However,
when integrating dy/dx = 2x, we get y = x2. What happened to the
constant 1?
When
y is differentiated, constants become 0. Hence the constant is not reflected
in the derivative. When we integrate, we cannot find this constant unless
additional information (for example, the co-ordinates of a point on the curve)
is given. Hence, we
denote this constant by c, known as the arbitrary constant.
Rules
The
constant can be taken out of the integral.
The
integral can be split into its sum of difference.
However,
there is no way of simplifying an integral with an integrand which is a
product or quotient of 2 functions.
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