Saturday

December 20, 2014

December 20, 2014

Posted by **Noel** on Saturday, February 11, 2012 at 9:58pm.

- calculus(integral) -
**Reiny**, Sunday, February 12, 2012 at 9:30amI 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)

**Answer this Question**

**Related Questions**

Calculus - Use the form of the definition of the integral to evaluate the ...

Calculus - Would someone clarify this for me... Is antiderivatives just another ...

calculus - how do you evauste the intergral intergral (2x^4-2x^3+6x^2-5x+1)/(x^3...

calculus - Use integration by parts to evaluate the definite integral. Intergral...

Calculus urgent - For the intergral of -(x^2)/3 +6 interval [0,3] Rewrite it as ...

Calculus - A donut is generated by rotating the circle, S, defined by (x-3)^2 +y...

CALCULUS HELP PLEASE!! - Intergral from -2 to 2 (-2 is at the bottom of the ...

Math/Calculus - How would I solve the following integral with the substitution ...

Calculus - Intergral from -2 to 2 (-2 is at the bottom of the integral sign and ...

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