
Integral
calculus 

The
indefinite integral 
Integrating
irrational functions

Integration of
irrational functions, examples








Integrating
irrational functions


where,
R
is a rational function and, p_{1},
q_{1},
p_{2},
q_{2},
. . . are integers,

we
can solve using substitution 


where
the power n
is the least common multiple of q_{1},
q_{2},
. . . .


Integration of
irrational functions examples






Note
that here we used the Ostrogradsky method and the solution of I_{2}
already evaluated, see above.


Integration of
irrational functions of the form 




where
P_{n}(x)
is an nth
degree polynomial.


where
Q_{n }_{}_{
1}(x) is an (n

1) th
degree polynomial of undetermined
coefficients and l
is a constant.

Coefficients
of the polynomial Q_{}
and the constant l
we obtain by deriving the above identity.















Calculus contents
F 



Copyright
© 2004  2020, Nabla Ltd. All rights reserved. 