calculus(integral)

posted by .

intergral 2x^2/(x^2+4x+8)

  • calculus(integral) -

    I did a long division and got

    2x^2/(x^2+4x+8) = 2 - (4x+8)/(x^2 + 4x + 8)
    = 2 - 2(2x+4)/(x^2 + 4x + 8)

    I noticed that the derivative of x^2 + 4x + 8 is 2x+4 , which I have sitting on top.
    Ahhh, logs!!!!

    ∫2x^2/(x^2+4x+8) dx
    =∫ ( 2 - 2(2x+4)/x^2 + 4x + 8) ) dx
    = 2x - 4 ln(x^2 + 4x + 8)

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Calculus

    Would someone clarify this for me... Is antiderivatives just another name for intergral and why is intergral of a function is the area under the curve?
  2. Calculus urgent

    For the intergral of -(x^2)/3 +6 interval [0,3] Rewrite it as a function of n using the right hand endpoint without any summation sign. can anyone help me start this problem out?
  3. calculus

    how do you evauste the intergral intergral (2x^4-2x^3+6x^2-5x+1)/(x^3-x^2+x-1)dx using partial fractions method?
  4. calculus

    Use integration by parts to evaluate the definite integral. Intergral: xsec^2(6x) dx I set u=sec^2(6x) and dv=x, but the problems seems to get harder as I go on.
  5. Calculus

    Intergral from -2 to 2 (-2 is at the bottom of the integral sign and 2 is at the top) x^-2dx = -x^-1] (the bracket has a 2 at the top and -2 at the bottom) = -(2)^-1-(-(-2)^-1) = (-1/2)-(1/2 = -1 Is this true or false. I think it's …
  6. CALCULUS HELP PLEASE!!

    Intergral from -2 to 2 (-2 is at the bottom of the integral sign and 2 is at the top) x^-2dx = -x^-1] (the bracket has a 2 at the top and -2 at the bottom) = -(2)^-1-(-(-2)^-1) = (-1/2)-(1/2) = -1 Is this true or false. I think it's …
  7. Calculus

    Use the form of the definition of the integral to evaluate the intergral. From 0 to 9 (10+6x-x^2)
  8. Calculus

    A donut is generated by rotating the circle, S, defined by (x-3)^2 +y^2 =4 about the y axis. If the anagement of dunkin donuts wants to know how to price these donuts use intergral calculus to help them (i) set up a definite intergral …
  9. Calculus

    If f(x) and g(x) are continuous on [a, b], which one of the following statements is true?
  10. Calculus

    which of the following is equivalent to integral (a,b) k*f(x)+C)dx where k and C are constants k integral (a,b)(f(x)+C)dx ***** intergral (a,b)kdx + intergral (a,b)f(x)dx+ intergral (a,b) Cdx k integral (a,b)f(x)+ integral (a,b) Cdx …

More Similar Questions