Question

How to integrate this :
(2x+4)²(6x+5)²

my answer is :
(2x+4)²((6x+5)^3)/18 - (4x+8)( (6x+5)^4)/216 ) + ( (6x+5)^5)/1620

but it doesn't seem to be a right answer

Answer 1

(4x^2+8x+16)(36x^2+60x+25)

Answer 2

is that possible for us to solve it with using this method :
uv - integrate( u'v) = integrate(uv')

Answer 3

intergration by parts.... let me think about it

Answer 4

i think it harder that way.... dont forget the rules for intergration by parts
L - logs
I - inverse trig
A - algebraic
T - trig fiunctions
E - exponentials

Answer 5

so what's the answer? @benice

Answer 6

i don't know how to write definite integration in wolframe alpha. But when i wrote itegrate only, the wolframalpha use the expanding then integrate method.

Answer 7

callin me out ...lol
144x^4+816^3+1636x^2+1360x+400

Answer 8

so can u do that in integrate by part method?

Answer 9

@hei it just does what easier i think

Answer 10

hehe

Answer 11

i wouldn't use integration by parts here.
you can either expand it all out , then integrate the polynomial
or use substitution

u = 2x+4
du = 2dx
then 6x+5 = 3u-7

Answer 12

i dunno if thats better though but you could do it that way :|

Answer 13

wat do u meant by 'how about distribute the two quantities to make the expression one' ?

Answer 14

multiply them to come up one value for u.

Answer 15

the intergral of x^2 dosnt equal the integral of x the integral of x