Question

Intergration please solve intergral tanx^3 dx

Answer 1

odd degree trig functions; I think its easier to split them up into groups of something...

Answer 2

Re-write it as ∫tan^2(x)*tan(x) dx ---> ∫(sec^2(x)-1)*tan(x) dx = ∫sec^2(x)tan(x) - tan(x) dx. Let u=tan(x).

Answer 3

well, it is quite simple actually, just wait a minute and sstarica will show you

Answer 4

re-write it and you'll get :\[\int\limits_{}^{}sinx^3/cosx^3 dx\]



use u substitution for cosx^3 ^_^

give it a try :)

Answer 5

LOL andy :D

Answer 6

Here, use this :)

Answer 7

oh, and ssarica, gratz on making a Superstar, I guess I cant call you starlet anymore

Answer 8

lol, call me whatever you want and thank you ^_^, some of the fanning came from you :)

Answer 9

yup, whole 4 fannings

Answer 10

amistre! are you encouraging students on using calculators instead of thinking about it?!

Answer 11

at 101 fans you get to be a "hero"....its a shame really, all that work just to become a sandwich....

Answer 12

different times, different accounts, but same me

Answer 13

:) I don't really care much about the fanning process

Answer 14

the mr proffesor is more of an "exercise" in math than it is a calculator :)

Answer 15

lol, anyway did you understand it deidre? ^_^

Answer 16

@sstarica: I'm not sure if your method works, it ends up giving you -1/3 * ∫1/cos^5(x) dx. :/

Answer 17

2x6=?

12 (green light)

Answer 18

for reals? let me try

Answer 19

Whoops, not quite..

Answer 20

no lol , it works!

Answer 21

Oh, sorry. Thought you typed something else ;P

Answer 22

wait, you're right it doesn't work ^^" sorry for the mess again diedre, ignore my answer. Thank you Quantum ^_^

Answer 23

deidre is away, geting some hotdogs for me and me

Answer 24

Now let me check if my answer works...xD

Answer 25

so dont worry, you have some time to clear the mess before he comes back

Answer 26

\[du = -3x^2sinx^3dx\] which is wrong. you can't substitute it there, my dearest apologies ^^"

Answer 27

Ah, let me expand my answer to make it clearer:
∫tan(x)sec^2(x) dx - ∫tan(x) dx. In the first integral, let u=tan(x), and in the second it integrates cleanly. :P

Answer 28

why did you put tanxsec^2x? where did you get it from

Answer 29

x^3 acts as an angle here

Answer 30

and not the power of tan :)

Answer 31

ok, guys, I am about to go to sleep, just going to workout abit and maybe eat something and i am off.

Answer 32

same, I'm tired

Answer 33

oh, nice, so we are going to beds together again

Answer 34

anyway, solve the question and I'm off to bed, sorry ^_^

Answer 35

I'm going to bed ALONE >_>

Answer 36

I sayed BEDS with an S, not BED :D LOL, I knew it you have interesting thoughts in your head :)

Answer 37

I got it from the relation tan^2(x) = sec^2(x) - 1.
∫tan^3(x)dx = ∫tan^2(x)*tan(x) dx = ∫(sec^2(x)-1)*tan(x) dx = ∫tan(x)sec^2(x) - tan(x) dx = ∫tan(x)sec^2(x) dx - ∫tan(x) dx. :P

Answer 38

nope :)

Answer 39

I never think of such things angoo =P

Answer 40

yes but quantum the question is :\[\int\limits_{}^{}tanx^3\]

and not :

\[\int\limits_{}^{}\tan^3x\]

Answer 41

hmm... well, I don't too, becouse things like those should be practice once married

Answer 42

I agree :)

Answer 43

quantum you copied the question wrong lol

Answer 44

good, smart girl, not the "new era" type

Answer 45

nah, I'm old fashioned ^_^ more classy

Answer 46

wonderful, smart, classy, what else could one want....

Answer 47

want what? ._.

Answer 48

Erm...alright, then we'll see when deidre clears it up. :P

Answer 49

like in, what else would I look for in a friend

Answer 50

lol , I agree Quantum

Answer 51

aww, angoo, you're soo sweet ^_^

Answer 52

im sticking with my safety net....(S) x^2 dx..... :)

Answer 53

not sweet, just relaxed and not trying to be someone I am not

Answer 54

lol amistre! and yes you are sweet andy ^_^

Answer 55

well, thanks, going to the dream world now, I think I will dream about beautiful land with happy little rabbits and dears and bears living together, and I will be ther too, we will play and have fun....

Answer 56

lala land, lol, I'm off to bed too, good night ^_^

Answer 57

and you are welcome :)

Answer 58

night night :)

Answer 59

sleep tight ~

Answer 60

:) I was about to say "don't let the bugs bite" but it is getting old, so..

Answer 61

lol, bye

Answer 62

bye