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xartaan
 one year ago
Best 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>

abb0t
 one year ago
Best ResponseYou've already chosen the best response.0Wow. 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.

calmat01
 one year ago
Best ResponseYou've already chosen the best response.0Except that the product of siny and e^y^1/3 is elliptic. Neither of those will differentiate to zero.

xartaan
 one year ago
Best ResponseYou've already chosen the best response.0Heh, 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

calmat01
 one year ago
Best ResponseYou've already chosen the best response.0That is one hairy integral!

siddarth95
 one year ago
Best ResponseYou've already chosen the best response.0have you tried considering y^(1/3) as u ?

abb0t
 one year ago
Best ResponseYou've already chosen the best response.0I 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.

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

abb0t
 one year ago
Best ResponseYou've already chosen the best response.0Not series to solve the whole integral! Omg.

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

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

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

abb0t
 one year ago
Best ResponseYou've already chosen the best response.0Well, 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.
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