I need to solve a improper integral with using either INTEGRATION BY PARTS or PARTIAL FRACTION DECOMPOSITION. In the photo i have multiple improper integrals. PLEASE PICK ONE PROBLEM THAT CAN BE SOLVED USING THE EITHER OF THE TWO METHODS. Im not sure which one can be solved using the methods so that's why I have listed all the problems. DONT DO ALL OF THEM JUST ONE PROBLEM. Do not use any other method please. show work clearly and neat please

In 1-21, use the definition of an improper integral to evaluate the given integral. 1 . 3 dx 5 2. 2 dx X 3. 2 dx 10 e X. In(x) 1+x 3 2 5 OO 4. dx 5. dx X X 6. dx x. In(x) 1 +x e O OO 7. x - 2 dx 8. dx (x - 2) 9 . dx 3 (x - 2) OO 10. x + 2 dx 11. 1 (x + 2)2 dx 12. (x + 2 ) dx 3 3