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[tex]\int \ell^{x^2} x^2 dx [/tex]

[tex] = 1/2 \int \ell^{x^2} x^2 d(x^2) [/tex]

[tex] = 1/2 \int \ell^{t} . t dt [/tex] (Let x^2 = t )

[tex] = 1/2 [t.\ell^{t} - \int \ell^{t} dt] [/tex]

[tex] = 1/2 [t.\ell^{t} - \ell^{t} + c ] [/tex]

[tex] = 1/2 [x^2 \ell^{x^2} - \ell^{x^2} + c] [/tex]

[tex]\ell[/tex] is actually exponential. I dont know the code for exponential. :)

What`s the problem with the above integration I have done?

[tex] = 1/2 \int \ell^{x^2} x^2 d(x^2) [/tex]

[tex] = 1/2 \int \ell^{t} . t dt [/tex] (Let x^2 = t )

[tex] = 1/2 [t.\ell^{t} - \int \ell^{t} dt] [/tex]

[tex] = 1/2 [t.\ell^{t} - \ell^{t} + c ] [/tex]

[tex] = 1/2 [x^2 \ell^{x^2} - \ell^{x^2} + c] [/tex]

[tex]\ell[/tex] is actually exponential. I dont know the code for exponential. :)

What`s the problem with the above integration I have done?

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