`int(dx)/(xsqrt([(log x)^(2) + 10]))` का मान ज्ञात कीजिये ।

`int(dx)/(xsqrt([(log x)^(2) + 10]))` का मान ज्ञात

1.	`int(dx)/(xsqrt([(log x)^(2) + 10]))` का मान ज्ञात कीजिये ।
Answer» माना `I = int (dx)/(xsqrt([(logx)^(2)+10]))` माना `log x = t rArr (1)/(x) dx = dt `तथा `sqrt(10) = a` `therefore " "I int(dt)/(sqrt(t^(2) +a^(2))) = log [ t sqrt(t^(2) +a^(2))]` `= log [log x + sqrt((logx)^(2)+ 10)]`