Mathematics for Applied Sciences (Osnabrück 2011-2012)/Part I/Exercise sheet 26
- Warm-up-exercises
Determine the partial fraction decomposition of
Determine the coefficients in the partial fraction decomposition of the Example by replacing with some numbers.
Determine the complex and the real partial fraction decomposition of
Determine the complex partial fraction decomposition of
Determine the complex and the real partial fraction decomposition of
Determine the complex and the real partial fraction decomposition of
Determine the complex and the real partial fraction decomposition of
Determine an antiderivative (primitive function) of the function
Determine an antiderivative (primitive function) of the function
Determine an antiderivative (primitive function) of the function
Determine an antiderivative of the function
through partial fraction decomposition.
We consider the function
a) Determine the real partial fraction decomposition of .
b) Determine an antiderivative of for .
Find a representation of the rational number as a sum of rational numbers, such that every denominator is a power of a prime number.
- Hand-in-exercises
Write the rational function
in the new variables . Compute the antiderivative through the real partial fraction decomposition and through the substitutio .
Determine the complex and the real partial fraction decomposition of
Determine the complex and the real partial fraction decomposition of
Determine an antiderivative (primitive function) of the function
Determine an antiderivative (primitive function) of the function
Determine an antiderivative (primitive function) of the function