1549312215-Complex_Analysis_for_Mathematics_and_Engineering_5th_edition__Mathews

8.5 • INDENTED CONTOUR INTEGRALS 321

-------~EXERCISES FOR SECTION 8.5

Use residues to compute

J

oo dx

1.P.V. _ (^00) x ( X-l )( X- 2 )'
J
2. P.V. oo - dx

• oo x^3 --+ x.

J

oo X dx

3. P.V. - 3 --.
   -oo x + 1

J

oo d.1:

4. P.V. - 3 --.
   -^00 x + 1

oo x^2 dx

5. P.V. Loo -4-- ·
   x - 1