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Crash when Solve for Integral with 15C
09-04-2017, 10:19 AM
Post: #64
RE: Crash when Solve for Integral with 15C
(09-04-2017 09:30 AM)Pekis Wrote:  Hello,

After u=x^3 substitution, is this the correct form ?

Integ(e^x^3 dx, 0, 6) = Integ(e^u/(3*u^(2/3)), 0, 216)

u=x^3 => dx=du/(3*x^2)
x=u^(1/3) => 3*x^2=3*u^(2/3)
=> dx=du/(3*u^(2/3))

Thanks

Yes, it is.

Elsewhere in this thread I'd wrongly written

Integ(e^x^3 dx, 0, 6) = Integ(e^u/u^(2/3), 0, 216)

neglecting the 1/3 constant in my own hand-written note:

Integ(e^x^3 dx, 0, 6) = 1/3* Integ(e^u/u^(2/3), 0, 216)

Sorry for the lack of attention and thanks for the correction.

Gerson.
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RE: Crash when Solve for Integral with 15C - Gerson W. Barbosa - 09-04-2017 10:19 AM



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