CALC 2  Partial Functions!!
posted by Ace .
How do I solve
Integral of 7/(16x^2)
I know I must break down (16x^2) into (x+4)(x+4), but after I do that what is next?
Using the method of partial fractions, convince yourself that
7/(16x^2)= (7/8)*[1/(4+x) + 1/(4x)]
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 4x.
Respond to this Question
Similar Questions

Calc easy
Having trouble getting the correct solution. The integral of “x squared” in the numerator and “x squared plus x minus 6” in the denominator. S X2 / (X2 + x – 6) dx Thanks! That's a messy one. According to my table of integrals. … 
Calculus  Partial Fractions
What is the integral of 7e^(7t) Divided By e^14t+13e^7t+36 Using partial fractions 
calc II
Express the integrals as the sum of partial fractions and evaluate the integral: (integral of) (x^2)dx/(x1)(x^2 +2x+1) My work: The above integral is equal to x^2dx/(x+1)^2 (A/x1) + (B/x+1) + (Cx+D)/(x+1)^2 = x^2 A(x+1)^2 + B(x1)(x+1) … 
Calc II
Perform long division on the integrand, write the proper fraction as a sum of partial fractions, and evaluate the integral: (integral of) 2y^4dy/y^3  y^2 + y  1 After long divison I get: (integral of)2ydy + 2(integral of)dy + (integral … 
Calculus
Find the integral of x/ (x^4+x^2+1) from 2 to 3. I was going to integrate using the method for partial fractions but I can't factor x^4+x^2+1. 
partial fractions
(7x^216)/(x^22x) solve by using partial fraction decomposition. i cant figure out how to do this because after i split up the bottom the A and B don't end up having an x^2 in order to equal the numerator of the original fraction. … 
Calc
integral (x^3)/(x^22x+1) from 1 to 0 How do you get this integral? 
calculus
find the exact length of the curve y = ln(1x^2), 0 <= x <= (1/2) So by doing the work I eventually get down to integral from 0 to 1/2 (1 + x^2)/(1x^2) dx but I keep getting 1 + 1/(x1)  1/(x+1) after partial fractions which … 
Math Partial Fractions
Decompose the following into partial fractions after factoring the denominator as much as possible. Please show some work so I can understand how you did it. 1)x^2/((x1)(x^2+5x+4)) 2)(3x^35x^2+12x+4)/(x^416) 3)1/(x^2 (x+1)^2 ) 4)(x+1)/((x^2+1) … 
Math (Calculus II) (Partial Fraction Decomposition
I'm having trouble trying to solve for the partial fraction decomposition in order to find the integral. ∫ x / (x^4  a^4) dx I'm assuming a is some constant in this case. So I factored the denominator to this: (x^4  a^4) = (x^2 …