Thursday

April 17, 2014

April 17, 2014

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.

**Related Questions**

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

calculus - 8). Part 1 of 2: In the solid the base is a circle x^2+y^2=16 and the...

Discrete Math - 7.A group has 9 women and 7 men. d. Suppose 2 members of the ...

Discrete Math - 7.A group has 9 women and 7 men. d. Suppose 2 members of the ...

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. - Find the value of the definite integral using sums, not antiderivatives...

partial fractions - (7x^2-16)/(x^2-2x) solve by using partial fraction ...

Calculus - Find the volume of the solid whose base is the region in the xy-plane...

Re: Algebra II - How to solve Log (9x+5) - Log ((x^2)-1) = 1/2 16 16 (The 16 is...

Calc. Help Please. - Find the value of the definite integral using sums, not ...