Sunday

February 1, 2015

February 1, 2015

Posted by **Hannah** on Friday, October 22, 2010 at 8:34pm.

The integral from 0 to 7 of -1/((x-5)^2)dx

I keep getting 0.7 but apparently I am wrong.

- Calculus -
**Hannah**, Friday, October 22, 2010 at 9:11pmApparently it diverges to negative infinity. Can someone please explain to me why?

- Calculus -
**MathMate**, Friday, October 22, 2010 at 9:55pmI do not know how you got 0.7, negative infinity seems to me correct because there is an asymptote at x=5.

For improper integrals where the vertical asymptote is between the integration limites, we have to be careful not just evaluate the integral at the two limits.

Instead, we will subdivide the integral into two, from 0 to 5 and from 5 to 7.

If both integrals converge, then you have convergence and the integral is defined.

If there are more vertical asymptotes, you will need to subdivide accordingly.

**Answer this Question**

**Related Questions**

Calculus - Determine whether the integral is divergent or convergent. If it is ...

Calculus - Determine whether the integral is divergent or convergent. If it is ...

Calculus - Determine whether the series is convergent or divergent. If it is ...

Calculus - Determine whether the series is convergent or divergent. If it is ...

Calculus - Determine whether the sequence is divergent or convergent. If it is ...

calculus - is this correct? use the integral test to determine if this series is...

calculus (integral test) - use integral test to determine whether the series is ...

Calculus - Determine if convergent or divergent: Integral 1 to infinity of e to...

Calculus - Evaluate the integral: 16csc(x) dx from pi/2 to pi (and determine if ...

calculus - determine if the series is absolutely convergent and convergent. the ...