`int (sin 2 x dx)/(a cos^(2) x + b sin^(2))` का मान ज्ञात कीजिये ।

`int (sin 2 x dx)/(a cos^(2) x + b sin^(2))` का मान ज्�

1.	`int (sin 2 x dx)/(a cos^(2) x + b sin^(2))` का मान ज्ञात कीजिये ।
Answer» माना `I = int (sin 2x dx)/(a cos^(2) x + b sin^(2)x)` माना `" "a cos^(2) x + b sin^(2) x = t` `rArr " "(-2a sin x cos x + 2b sin x cos x) dx = dt` `rArr " "(b-a) sin 2x dx = dt` `rArr" "sin2x dx = (dt)/(b-a)` `therefore" "I = ((1)/(b-a))int(dt)/(t) = (1)/(b-a) log t` `=(1)/(b-a)log[a cos^(2) x + bsin^(2) x]`