Determine whether the following improper integrals converge
and if they do find their values
1-integration from 0 to 2 of (e^w/sqrt(e^w-1)) dw
2- integration from 1 to 3 of (1/x^2-4x+4)dx
3-integration from 0 to infiniti of( 4/4+x^2 ) dx
4-integration from 0 to infiniti 2/PI to +infiniti of (sin(1/x)/x^2 ) dx

Question

Determine whether the following improper integrals converge
and if they do find their values
1-integration from 0 to 2 of (e^w/sqrt(e^w-1)) dw
2- integration from 1 to 3 of (1/x^2-4x+4)dx
3-integration from 0 to infiniti of( 4/4+x^2 ) dx
4-integration from 0 to infiniti 2/PI to +infiniti of (sin(1/x)/x^2 ) dx

anonymous · Answer

3-integration from 0 to infiniti of( 4/4+x^2 ) dx