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Integral
calculus |
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The
indefinite integral |
Integrating
irrational functions
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Integration of
irrational functions, examples
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Integrating
irrational functions
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where,
R
is a rational function and, p1,
q1,
p2,
q2,
. . . are integers,
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we
can solve using substitution |
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where
the power n
is the least common multiple of q1,
q2,
. . . .
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Integration of
irrational functions examples
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Note
that here we used the Ostrogradsky method and the solution of I2
already evaluated, see above.
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Integration of
irrational functions of the form |
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where
Pn(x)
is an n-th
degree polynomial.
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where
Qn -
1(x) is an (n
-
1) -th
degree polynomial of undetermined
coefficients and l
is a constant.
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Coefficients
of the polynomial Q
and the constant l
we obtain by deriving the above identity.
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Calculus contents
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