Math Problem

[Machaira]

Cookies are riding on the first solution to this:

∫(12x+8)(3x^2+4x)

Its been about 20 years since Ive done anything like this and Ive pretty much forgotten all my advanced math. Id be lucky to solve for x.

 

[Joe Mamma]

Cookies are riding on the first solution to this:

∫(12x+8)(3x^2+4x)

Its been about 20 years since Ive done anything like this and Ive pretty much forgotten all my advanced math. Id be lucky to solve for x.

I believe it is:

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

 

[Joe Mamma]

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!!!!

 

[VagabondSW]

The answer is: 4

 

[Iceplug]

∫(12x+8)(3x^2+4x) dx

= ∫36x

 

[Joe Mamma]

∫(12x+8)(3x^2+4x) dx

= ∫36x

 

[neodammer]

WHo stole the cookies from the cookie jar?
9x^4 + 24x

 

[Machaira]

Thanks guys, unfortunately I got beaten submitting an answer. No cookies for anyone.

 

[thenerd]

Obligatory HGTTG Reference.

42, of course