Posted by **Sean** on Friday, March 14, 2008 at 8:54am.

What is the integral of

7e^(7t)

Divided By

e^14t+13e^7t+36

Using partial fractions

- Calculus - Partial Fractions -
**Count Iblis**, Friday, March 14, 2008 at 9:27am
Substitute t = Log(x)/7

Integral is then proportional to:

Integral of dx/[x^2 + 13 x + 36] =

Integral of dx/[(x+4)(x+9)]

1/[(x+4)(x+9)] = A/(x+4) + B/(x+9)

Multiply both sides by x+4 and take limit x to -4:

1/5 = A

Multiply both sides by x+9 and take limit x to -9:

1/5 = A

-1/5 = B

- Calculus - Partial Fractions -
**Sean**, Friday, March 14, 2008 at 9:41am
Thank you so much.

- Calculus - Partial Fractions -
**Sean**, Friday, March 14, 2008 at 9:49am
I've reached the last step of

(7/5) ln((x+4)/(x+9)

But how do I substitute the variable 't' back in?

- Calculus - Partial Fractions -
**Count Iblis**, Friday, March 14, 2008 at 10:52am
t = Log(x)/7 ---->

x = exp(7 t)

## Answer This Question

## Related Questions

- Calc II - Perform long division on the integrand, write the proper fraction as a...
- Calc easy - Having trouble getting the correct solution. The integral of “x ...
- calculus - find the exact length of the curve y = ln(1-x^2), 0 <= x <= (1/...
- Calculus - Find the integral of x/ (x^4+x^2+1) from 2 to 3. I was going to ...
- calculus - evaluate integral or state that it is diverges integral -oo, -2 [2/(x...
- calculus - how to you use partial fractions to compute the integral of ax/((x^2...
- Binomial - Help me on this one :( Express y= (7-3x-x^2)/[((1-x)^2)(2+x)] in ...
- Math- Partial Fractions - Decompose the following into partial fractions after ...
- Calculus - Integration - I came across this problem in my homework, and I was ...
- CALC 2 - Partial Functions!! - How do I solve Integral of 7/(16-x^2) I know I ...

More Related Questions