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xartaanBest ResponseYou've already chosen the best response.0
\[\int\limits_{0}^{1} \sin(y)(ee^{y^{1/3} })dy\] is the integral. I can plug it into wolfram alpha and get a value, but I would like to know what steps get me there>
 one year ago

abb0tBest ResponseYou've already chosen the best response.0
Wow. That's an interesting integral. I would suggest distributing the sine function across and take the integral sepearately. e is constant so you can just factor that out. For the second integral, it gets a bit difficult. You could try and work with integration by parts twice.
 one year ago

calmat01Best ResponseYou've already chosen the best response.0
Except that the product of siny and e^y^1/3 is elliptic. Neither of those will differentiate to zero.
 one year ago

xartaanBest ResponseYou've already chosen the best response.0
Heh, I have a whole homework sheet of these iterated integrals that the inner integral isnt bad, but the insides are just impossible. WA wont even give steps, just values when I include the bounds.. Arg
 one year ago

calmat01Best ResponseYou've already chosen the best response.0
That is one hairy integral!
 one year ago

siddarth95Best ResponseYou've already chosen the best response.0
have you tried considering y^(1/3) as u ?
 one year ago

abb0tBest ResponseYou've already chosen the best response.0
I don't think you can use usub, since you don't have a du to substitute. But, I think since the integral is from 0<y<1 so it might be easier to just use the bounds given to evaluate. In theory, I think you can use series to solve this.
 one year ago

mathsmindBest ResponseYou've already chosen the best response.0
i would use taylor series to solve this problem
 one year ago

abb0tBest ResponseYou've already chosen the best response.0
Not series to solve the whole integral! Omg.
 one year ago

mathsmindBest ResponseYou've already chosen the best response.0
i used taylor's expansion and i got 0.1644
 one year ago

mathsmindBest ResponseYou've already chosen the best response.0
unless u want to use integration by parts and the Jacobin and polar coordinate,
 one year ago

mathsmindBest ResponseYou've already chosen the best response.0
to solve this problem
 one year ago

abb0tBest ResponseYou've already chosen the best response.0
Well, depending on the course this is being taught in, which is probably a Calc BC (II) course, I would suggest parts. However, if this was for ODE, then I might suggest using poolar coordinates or series expansion.
 one year ago
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