Determine whether the improper integral is convergent or divergent. If it is convergent, evaluate it.?

Question

2
∫ dx/(4+x^2)
- infiniti

Answer 1

= 1/2 arctan(x/2) evaluated from - infinity to 2
= 1/2 *pi/4 - 1/2(-pi/2) = pi/8 + pi/4 = 3pi/8