Friday

October 24, 2014

October 24, 2014

Posted by **Anthony** on Saturday, December 8, 2007 at 11:49pm.

x = Integral (0 to v) dv/(q^2-v^2) where q = constant

the answer is --> x = 1/2q ln (q+v/q-v)

1) Where 1/2q came from?

2) Where ln came from? Is there a formula for it?

Please help!!!!!!!

- Math -
**drwls**, Sunday, December 9, 2007 at 12:46amI explained this yesterday. You use the method of partial fractions, to rewrite

1/(q^2-v^2) as the sum of terms with

(q+v)and (q-v) in the denominator. When you integrate those two separate terms, you get the difference of two log terms.

Look up the method in your text or verify the integal in a table of integrals.

[1/(2q)] is a factor appears when the method of partial fractions is correctly applied.

- Math -
**drwls**, Sunday, December 9, 2007 at 4:51am"ln" is term that designates the natural (base e) logarithm of whatever follows. ln x is the integral of dx/x

ln (q+v) is the integral of dv/(q+v), with q being a constant. When you do the integration, you get the ln(q+v) - ln (q-v). Using the rules of logarithms, this can be written ln[(q+v)/(q-v)]. The 1/2q factor comes from the step of converting 1/(q^2-v^2) to two partial fractions.

**Answer this Question**

**Related Questions**

math ergent please please... - 10.a)Solve the inequality x^3-5x^2+2x+8<0 by i...

chemistry - This question I really don't get it. I tried tried tried to figure ...

Algebra - Can you please show me step by step to the answer you have given me. -...

Algebra 1--Step-by-Step - Can someone show me how to solve these step-by-step? ...

math grade 10 - 1.)Determine the x- and y- intercept of each equation. (if u can...

calculus - can someone show me step by step how to evaluate the integral of 2(...

math - please show me how to solve this (2x - 5y) power of 2 i am having a ...

Calculus - 1/a+1 + 1/a-1 I solved this out by multiplying the (a+1) by (a-1) and...

Greens Theorem - Can someone show me step by step how to work this problem out ...

math - how do you solve these problems? 1.2x/3 + 1/3 - x/8= 2/3 2. 3n + 9/10 + ...