Thursday

January 29, 2015

January 29, 2015

Posted by **Ace** on Wednesday, June 13, 2007 at 1:06am.

Integral of 7/(16-x^2)

I know I must break down (16-x^2) into (x+4)(-x+4), but after I do that what is next?

Using the method of partial fractions, convince yourself that

7/(16-x^2)= (7/8)*[1/(4+x) + 1/(4-x)]

The two additive

terms can be integrated by the method of substitution.

4+x -> u etc. You will end up with terms that are the log of 4+x and 4-x.

**Answer this Question**

**Related Questions**

Calc II - Perform long division on the integrand, write the proper fraction as a...

Calc - (1/1+(4/n))(4/n)+(1/1+(8/n))(4/n)+(1/1+(12/n))(4/n)+....+(1/1+(4n/n))(4/n...

calc II - Express the integrals as the sum of partial fractions and evaluate the...

calculus - find the exact length of the curve y = ln(1-x^2), 0 <= x <= (1/...

Calc easy - Having trouble getting the correct solution. The integral of “x ...

Calc - Evaluate the integral using any method: (Integral)sec^3x/tanx dx I ...

Calc - integral (x^3)/(x^2-2x+1) from -1 to 0 How do you get this integral? I ...

calc - how do you start this problem: integral of xe^(-2x) There are two ways: 1...

science - At 472 deg C the reaction reaches equilibrium with the following ...

Calculus - Hello, I have some calculus homework that I can't seem to get started...