Find the value of the integral that converges.
∫^0_-[infinity] x/x^2+3 dx.

Integral doesn't converge

Step-by-step explanation:

In order to computed the improper integral replace infinite limit with a finite value:

For the integrand substitute:

The integral of 1/u is log(u):

Applying the fundamental theorem of calculus and substituing back for u=x^2 +3:

Evaluating the limits:

Hence, the integral doesn't converge