- #1
cathy
- 90
- 0
Homework Statement
∫from 1 to 8 of (-1/(x-3)^2 dx
Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If it diverges to infinity, state your answer as INF. If it diverges to negative infinity, state your answer as MINF. If it diverges without being infinity or negative infinity, state your answer as DIV.
ANS: DIVERGES TO -INFINITY
MY PROBLEM: I KEEP GETTING THAT IT DIVERGES TO +INFINITY
The Attempt at a Solution
solved for antiderv and got 1/(x-3)
so lim c--> c- [(1/(x-3)) from 1 to c]+ c--> c+ (1/(x-3))from c to 8.
Working this out, I get
infinity - 3/10 + infinity.
How is the answer diverge to -infinity?