Menu Close

x-a-x-1-a-1-x-dx-




Question Number 118270 by bramlexs22 last updated on 16/Oct/20
   ∫x a^x  (1−a)^(1−x)  dx?
xax(1a)1xdx?
Commented by Dwaipayan Shikari last updated on 16/Oct/20
(1−a)∫x((a/((1−a))))^x   ((1−a)/(log((a/(1−a)))))x((a/(1−a)))^x −((1−a)/(log((a/(1−a)))))∫((a/(1−a)))^x   ((1−a)/(log((a/(1−a)))))x((a/(1−a)))^x −((1−a)/(log^2 ((a/(1−a))))).((a/(1−a)))^x +C  (((1−a)/(log((a/(1−a)))))((a/(1−a)))^x ).(x+(1/(log((a/(1−a))))))+C
(1a)x(a(1a))x1alog(a1a)x(a1a)x1alog(a1a)(a1a)x1alog(a1a)x(a1a)x1alog2(a1a).(a1a)x+C(1alog(a1a)(a1a)x).(x+1log(a1a))+C

Leave a Reply

Your email address will not be published. Required fields are marked *