#calculus solution needed
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$\int \frac{tanx}{(sin^4x + cos^4 x)^½} dx$
BRUCE
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use \frac12 for the fraction
$\int \frac{\tan x}{(\sin^4x + \cos^4 x)^{\frac12}}dx$
looks terrible but hey i don’t do formatting
Yea this
send your solution
This
Mintcabo
Can ya verify it for me?
,w integrate tan(x)/(sin^4(x)+cos^4(x))^(1/2)
well, they look different
This is the solution given by my teacher which ig is wrong
I need some verification on my answer in order to argue with my teacher about this
Can it show more forms of the answer?
It's done on a paper, scribbled out
I can do it again though
Created and shared using my brains
@spice tendon
are you using u = tanx or u=tan^2x
Initially U= tan²x
The second substitution needs a diff variable my bad
Assume v or smth pls
oh, you calculated du/dx using another chain rule
right
i mean, you missed the 1/2
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A better version
and how exactly are you integrating 1/rt(u^2+1)?
Using U= tany
what
I'm gonna write it down
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@spice tendon
It pretty much pops up everywhere so I sort of have it memorised
checks out
ok sure
i feel like all there’s left to do is procure a copy of your teacher’s solution and find exactly what went wrong
Yeah, we were just given the answers not the solutions
So gotta talk to them about it ig
@spice tendondid u divide by cos^4
caus that prolly works
which of these is ur final solution
This mate
Ughhh yeah
did u divide by cos^4 or cos^2
?
@spice tendon]
Cos²x
okay
so when u do that
how do u get root tan^4 x +1
So under a root, we square the cos²x which becomes (cos⁴x)½ and dividing it by sin⁴x gives us sin⁴x/cos⁴x which becomes.... You guessed it, tan⁴x
there is no root
in the question which u postrd
at start
This is the question
I didn't know the latex stuff
okay
ykw
is this from ncert
?
also there might be another approach to it
u can probably take cos^4 common from inside the root
so outside comes cos^2
which goes up and becomes sec
then take tan x = t so u get t / root 1+t^2
@spice tendon
so like theres TWO phases of this question
and two methods to do each of em
pretty cool
My teacher gave this question to us
so what was ur question again
u wanna confirm ur answe?R
He found it quite challenging so he gave it to us
It's confirmed, my ans is right
why did u give your answer in theta
It's X
yeah
I mistook it ig
hm
actually i also have this in my syllabus and id be concerned if i couldnt do it
Ohh
I found it quite easy ngl