`int(x^(e-1) - e^(x-1))/(x^(e) - e^(x))dx` का मान ज्ञात कीजिये ।

`int(x^(e-1) - e^(x-1))/(x^(e) - e^(x))dx` का मान ज्ञ�

1.	`int(x^(e-1) - e^(x-1))/(x^(e) - e^(x))dx` का मान ज्ञात कीजिये ।
Answer» मान `I=int (x^(e-1) - e^(x-1))/(x^(e) - e^(x))dx` माना `x^(e) - e^(x) = t` `(ex^(e-1) - e^(x)) dx = dt ` `therefore " "e(x^(e-1) - e^(x-1))dx = dt` `rArr " "(x^(e-1) - e^(x-1))dx = (1)/(e) dt` `therefore" "I = (1)/(e)int(dt)/(t) = (1)/(e)logt` `therefore" "I =(1)/(e)int(dt)/(e) = (1)/(e) log t` `therefore" "I = (1)/(e) log(x^(e) - e^(x))`