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

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5

what is the approximate angle of acb if abc is 25cm and the length of segment bc is 15

step-by-step explanation: