integration (1 Viewer)

[fullonoob]

integrate between 4 and 0 x / root(x+4) dx
ty

 

[SeCKSiiMiNh]

let u = x+4 ?

 

[shaon0]

integrate between 4 and 0 x / root(x+4) dx
ty

S [0,4] (x+4-4)/sqrt(x+4) dx = S [0,4] sqrt(x+4) dx - S [0,4] 4/sqrt(x+4) dx

 

[fullonoob]

du = 1
where x is needed on top
so on top put u-4?????/just guessing
this is under completing square topic though

 

[SeCKSiiMiNh]

yeh, let x =u-4

 

[kaz1]

let u = x+4 ?

u²=x+4 looks more neat imo.

 

[fullonoob]

S [0,4] (x+4-4)/sqrt(x+4) dx = S [0,4] sqrt(x+4) dx - S [0,4] 4/sqrt(x+4) dx

thanks
i get it now
answer my question in 3u section as well if you have time

 

[SeCKSiiMiNh]

u²=x+4 looks more neat imo.

or this^

 

[fullonoob]

i wasnt looking for substitution method but thanks anyways

 

[fullonoob]

integrate (x^2 + 4x +2) / x dx
under completing square topic once again

 

[tacogym27101990]

http://latex.codecogs.com/gif.latex?\int\frac{x^2+4x+2}{x}%20dx%20=%20\int%20xdx+%204\int%20dx%20+%202\int%20\frac{dx}{x}%20=%20\frac{x^2}{2}+4x+\ln%20|x|%20+c

 

[SeCKSiiMiNh]

integrate (x^2 + 4x +2) / x dx
under completing square topic once again

not sure about the complete the square bit but integrte x + 4 + 2/x

arent these these spose to be really easy?? o.o

 

[cutemouse]

integrate between 4 and 0 x / root(x+4) dx
ty

etc

 

[Aquawhite]

Thus, integral becomes (with already changed limits):





...and you can do the rest since it's early in the morning.

 

[fullonoob]

not sure about the complete the square bit but integrte x + 4 + 2/x

arent these these spose to be really easy?? o.o

hmm ill guess ill just do it like that then

 

[kaz1]

Thus, integral becomes (with already changed limits):





...and you can do the rest since it's early in the morning.

Big boys use implicit differentiation.

 

[SeCKSiiMiNh]

Big boys use implicit differentiation.

LOL!
but isn't it always implicit differentiation anyways?

like
2y = 3x + 1
y = 3/2x + 1/2

dy/dx = 3/2


OR

2y = 3x +

2 dy/dx = 3

dy/dx = 3/2

 

[jet]

LOL!
but isn't it always implicit differentiation anyways?

like
2y = 3x + 1
y = 3/2x + 1/2

dy/dx = 3/2


OR

2y = 3x +

2 dy/dx = 3

dy/dx = 3/2

Well in 4 unit they expect a little more understanding from you, so implicit differentiation demonstrates that a little more, and saves time in particularly complicated examples.

 

[fullonoob]

integrate root (x^2 +9) + root(x^2-9) / root(x^4 - 81) dx

how do you enter using latex?

 

[gurmies]