integrate-with-respect-to-x-x-sinx-

Question Number 21076 by j.masanja06@gmail.com last updated on 11/Sep/17

i n t e g r a t e w i t h r e s p e c t t o x

\int x^{s i n x}

Answered by FilupS last updated on 17/Sep/17

\int x^{\sin (x)} d x = \int e^{\sin (x) \ln (x)} d x

= \int \underset{n = 0}{\sum^{\infty}} \frac{\sin^{n} (x) \ln^{n} (x)}{n!} d x

= \underset{n = 0}{\sum^{\infty}} \frac{1}{n!} \int \sin^{n} (x) \ln^{n} (x) d x

= ? ? ?

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