SURENDRA K. answered • 10/06/14

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This is the case of improper integral.

Limits M tends to infinite[ integral of 2x/((x+1)^3)dx. with the limits 0 to M

Integration by parts

Limits M tends to infinite[(-1/2)*(2x+1)/(x+1)^2]. with the limits 0 to M

Limits M tends to infinite[(-1/2)*(2x+1)/((x+1)^2)]. with the limits 0 to M

Limits M tends to infinite [ (-1/2)*(2M +1)/((M+1)^2). with the limits 0 to M

Limits M tends to infinite [ (-1/2)*1/(M+1)]. with the limits 0 to M

=0+2*pi

=2*pi