∫t^7 sin(t^7 )dt


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Question Number 168291 by MikeH last updated on 07/Apr/22

$\int t^{7} \sin (t^{7}) d t$
	Answered by Engr_Jidda last updated on 07/Apr/22

	$l e t t^{7} = x t h e n d t = 7 t^{6} d x$ $∴ \int t^{7} s i n (t^{7}) d t = \int 7 x s i n x (x^{- 1}) d x$ $= 7 \int s i n x d x = - 7 c o s x O R - 7 c o s (t^{7})$
	Answered by Florian last updated on 07/Apr/22

	${I t}^{'} s i n t e g r a l h a s n o e l e m e n t a r y p r i m i t i v e!$
	Commented by MikeH last updated on 08/Apr/22

	$wow really ?$
	Commented by Florian last updated on 08/Apr/22

	$Y e s!$
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