Show that - (x) dx may not equal lim b b -b (x) dx diverges and hence that diverges. Then

Show that ∫^∞_-∞ ƒ(x) dx may not equal lim_b→∞ ∫^b_-b ƒ(x) dx 

diverges and hence that

diverges. Then show that

0 2x dx x + 1 X