the integral of sin(lnx)

the integral of sin(lnx) - math is hot!

Рет қаралды 5,406

math is hot

Күн бұрын

Пікірлер: 26

@amitgarg804 5 ай бұрын

wake up babe(she isnt real) the math girl posted

@AsirAbrar 5 ай бұрын

Well, you could say she's complex. 😉

@mountaindrew2241 4 ай бұрын

@@AsirAbrarthat would mean that there would be a real aspect of her (the a in a + bi)

@BobJeff-xe6vr 4 ай бұрын

LMAOOOOOOOOO

@fahadinc 5 ай бұрын

Very cool and very smart way to solve the problem! I enjoyed following the steps very much. Thank you and keep it up 👍🏻

@mathishot1 5 ай бұрын

glad you enjoyed :)

@seany2751 5 ай бұрын

love your channel!!!

@Tosi31415 5 ай бұрын

been doing way harder integrals recently, so when i saw this my instant thought was to use the summation operator, but i guess it's good sometimes to come back to plain integrals loving your channel as it gives me a small break from harder stuff

@cytos 4 ай бұрын

I solved this in a similar way, except I integrated e^u sinu by integration by parts two different ways, then set them equal to each other.

@quanesshatheseventeenth8617 5 ай бұрын

Ts is actually genius 🔥🔥🔥

@dietrichschoen7340 5 ай бұрын

Gracias señorita por el integral y por su excelente discurso.

@epicpickles9077 5 ай бұрын

i did a very similar one earlier today except i started with e^xsin(x) so i didnt get to do the first step, very cool!

@darcash1738 4 ай бұрын

1/2e^u [sinu - cosu] + c where u = lnx

@kappasphere 5 ай бұрын

My approach before watching, using the identities sin(x)=im e^x and sin(x)-cos(x)=sqrt(2)sin(x-π/4): int sin(ln(x)) dx =int im e^i(ln(x)) dx =im int x^i dx =im 1/(i+1) x^(i+1) + C =im (1-i)/2 x e^i(ln x) + C =im (1-i)/2 x (cos(ln(x))+i sin(ln(x))) + C =x sin(ln(x))/2 -x cos(ln(x))/2 + C =sqrt(2)x sin(ln(x) - π/4) + C

@theprof73 4 ай бұрын

That substitution was hot

@ianncarloalvim 5 ай бұрын

(And why here in Brazil the content of Calculus 1 goes up to the definite integral and content related to Calculus 2 and 3 is shown on foreign channels related as Calculus 3 and "differential equations"?)

@ianncarloalvim 5 ай бұрын

Why can't I stop subscribing to math channels?

@Aquamqrine 5 ай бұрын

cool tutorial 👍

@idandot 5 ай бұрын

Wow, never seen that use in integration by parts before And the result is dangerously close to Euler's identity, why is that?

@edwardfyodorov8268 5 ай бұрын

Where are you from?? Just interesting :))

@maths_505 4 ай бұрын

The explanation is pretty good. One recommendation though is to use Adobe podcast to get rid of some background noise and static. Other than that, it was pretty cool.