what is intergration of {dx/log(x)}

Asked by Devesh | 13th Sep, 2015, 02:55: PM

Expert Answer:

integral fraction numerator d x over denominator log x end fraction space i s space n o t space e x p r e s s i b l e space i n space t e r m s space o f space e l e m e n t a r y space f u n c t i o n s space l i k e space p o l y n o m i a l comma space t r i g o n o m e t r i c comma space log a r i t h m i c space a n d space e x p o n e n t i a l space f u n c t i o n s. S o comma space w e space s a y space t h a t space t h e space a n t i space d e r i v a t i v e space o f space i n t e g r a l space o f space fraction numerator 1 over denominator log x end fraction space c a n space n o t space b e space f o u n d. S o m e space o t h e r space i n t e g r a l s space w h i c h space c a n space n o t space b e space f o u n d space a r e space integral fraction numerator sin x over denominator x end fraction d x comma space integral e to the power of x squared end exponent d x comma space integral cos open parentheses x squared close parentheses d x space e t c.

Answered by satyajit samal | 13th Sep, 2015, 09:12: PM