And my neighbour just send me a couple of exercises for his exam (examples for previous exams):

1. We have the rational function

. Also we have to find the Taylor series for this rational function at point

and find the 88-th derivative

.

2. We have to find the indefinite integral for:

, where is the

.

3. We have to find the indefinite integral for:

.

My neighbour just wrote me: "If you know, how to find the solution, please let me know..." If anybody here on the forum knows, please show me way ...