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[tex]\int_0^\sqrt{6}}e^{-x^2}\frac{x^2}{2}[/tex]
should i use a u-substitution or integration by parts?
should i use a u-substitution or integration by parts?
RadiationX said:[tex]\int_0^\sqrt{6}}e^{-x^2}\frac{x^2}{2}[/tex]
should i use a u-substitution or integration by parts?
An answer in terms of erf is no worse than one in terms of sin or exp. There are table and computer programs to find values. Infinite series are helpful for some purposes, but unless one is going to compute an approximation by hand, an expression in terms of erf looks nicer and is more informative. Were you also discusted by integrals likekant said:These a-hole intergral disgust me greatly when i worked on calaulus..
It is better if you just express e^t as a infinite serie. Substitude t=-x^2
in to the series. After that, multiple the entire series by x/2. intergrat it term by term, and plug numbers. This function can only be tame;not solve.
Mathematical constipationlurflurf said:End special treatment for elementary function.
Equality for special functions.
Equal rights for all functions.
Well in that case my new function is called easyanswer(t), easyanswer(t) is defined such that where t is some real number of my choice it is the solution to the given numerical integral in front of me. Much easier exams nowlurflurf said:What good is an answer like log(2) or sin(exp(sqrt(2))) anyway.
End special treatment for elementary function.
Equality for special functions.
Equal rights for all functions.