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Posted

Cookies are riding on the first solution to this:

 

∫(12x+8)(3x^2+4x)

 

It's been about 20 years since I've done anything like this and I've pretty much forgotten all my advanced math. I'd be lucky to solve for x. :)

Here's what I'm up to.
Posted
Cookies are riding on the first solution to this:

 

∫(12x+8)(3x^2+4x)

 

It's been about 20 years since I've done anything like this and I've pretty much forgotten all my advanced math. I'd be lucky to solve for x. :)

I believe it is:

 

[ (x^2) (9x^2+22x+16) ]+C

Joe Mamma

Amendment 4: The right of the people to be secure in their persons, houses, papers, and effects, against unreasonable searches and seizures, shall not be violated, and no warrants shall issue, but upon probable cause, supported by oath or affirmation, and particularly describing the place to be searched, and the persons or things to be seized.

Amendment 9: The enumeration in the Constitution, of certain rights, shall not be construed to deny or disparage others retained by the people.

Posted (edited)

Damn. . . I Love math. . . I hate arithmetic. . . .

 

 

check:

 

given that

 

Ax^n = A ((x^n+1)/(n+1)) + C

 

and

 

( f(x) + g(x) ) = f(x) + g(x)

therefore

(12x+8)(3x^2+4x) =

(36 x^3 +24x^2 +48x^2 + 32x) =

36 x^3 + 72x^2 + 32x =

36 (x^4)/4 + 72(x^3) / 3 + 32 (x^2) / 2 =

 

9 x^4 + 24x^3 + 16 x^2 =

 

(x^2) ( 9x^2 + 24x + 16) =

 

(x^2) ( 9x^2 + 24x + 16) + C =

 

(x^2) (3x +4) ^2 +C

 

===========================

 

(12x+8)(3x^2+4x) = (x^2) (3x +4) ^2 +C

Now - thats my final answer!!!!

Edited by Joe Mamma

Joe Mamma

Amendment 4: The right of the people to be secure in their persons, houses, papers, and effects, against unreasonable searches and seizures, shall not be violated, and no warrants shall issue, but upon probable cause, supported by oath or affirmation, and particularly describing the place to be searched, and the persons or things to be seized.

Amendment 9: The enumeration in the Constitution, of certain rights, shall not be construed to deny or disparage others retained by the people.

  • Leaders
Posted

∫(12x+8)(3x^2+4x) dx

 

= ∫36x³ + 24x² + 48x² + 32x dx

= ∫36x³ + 72x² + 32x dx

= 9x^4 + 24x³ + 16x²

 

Yup, what Joe has.

 

Vagabond: :rolleyes:

Iceplug, USN

One of my coworkers thinks that I believe that drawing bullets is the most efficient way of drawing bullets. Whatever!!! :-(

Posted
∫(12x+8)(3x^2+4x) dx

 

= ∫36x³ + 24x² + 48x² + 32x dx

= ∫36x³ + 72x² + 32x dx

= 9x^4 + 24x³ + 16x²

 

Yup, what Joe has.

 

Vagabond: :rolleyes:

Where are my cookies???

Joe Mamma

Amendment 4: The right of the people to be secure in their persons, houses, papers, and effects, against unreasonable searches and seizures, shall not be violated, and no warrants shall issue, but upon probable cause, supported by oath or affirmation, and particularly describing the place to be searched, and the persons or things to be seized.

Amendment 9: The enumeration in the Constitution, of certain rights, shall not be construed to deny or disparage others retained by the people.

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