a) Use partial fractions to evaluate the following integral: \int \frac{5 x+1}{(2 x+1)(x-1)} d x b) Write out the form of the partial decomposition of the function: \frac{x^{3}+x+1}{x(x+1)^{2}\left(x^{2}+2\right)\left(x^{2}-3 x+2\right)}