Help me mathfags

Help me mathfags

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74

Math me helpfags

Equals sqrt(Pi/2).

Last two digits of my post in the answer

-e^(cot(x)) (-1 + cot(x))

First thoughts: rewrite cot as cos/sin; let u=sin;???;profit?

I'm too drunk to help, but use these resources.

Khan Academy
PatrickJMT
ProfRobBob
Professor Leonard
>Symbolab only as a last resort

Have you not heard of wolframalpha?

holy shitballs OP. This is fucking nasty. With no pencil/paper on hand, the only thing I can say is go to Wolfram Alpha

Either way, the answer is -e^[cot(x)] + C.

Just look at the function and its super obvious.

...

this. use u-sub if not ibp

youtube.com/watch?v=sWd3FFfTJgQ

The indefinite integral of e to the power of any non-polynomial function cannot be solved for real values. Meaning there's gonna be an i there somewhere.

-e^cot(x) * (cot(x) - 1) + c

...I think

> ProfRobBob

Mein Neiger! BAM!

Also fuck calculus II, wait till you get to decomposition. Shits bananas.

let u be cot you fucking moron

Your fucking stupid

>-e^[cot(x)] + C
I think you forgot the first part, which just goes to cot(x) - 1 + C after substituting integrating

Op use trig identities to transform cot(x)/sin^2(x) into cot(x)*csc^2(x)
then use u substitution on cot(x), and you get -u*e^u du. Then int by parts and bobs your uncle.

>Indefinite integral of e to any non-polynomial function can't be solved for real values

That is bullshit

You are wrong

or you can go to the Sup Forums message boards and have a bunch of faggots and shitlords to the thinking for you. Works just as well

Kek, his loss.

-(e^cotx)*(cotx-1)+C
First you substitute u=cotx, since -du=[(cscx)^2]dx
Then you use integration by parts.

what shit are you smoking?

88 Jiggawatts

Thank you im new to both the u-substitution and the cot/csc trigs. Much appreciated

cot(x)e^(cot(x))-e^(cot(x))+c

...

here OP i solved it for you the same way i got through it in school

...

42

(you have to simplify the answer because there's no built-in cot function, like i replaced it in the input)

((-(cos(x)-sin(x)))*e^(1/(tan(x))))/(sin(x))

which can be rewritten as -e^(cot(x)) (cot(x) - 1)