∫ ( cos 2 x- cos 2 α/ cos x- cos α) d x is equal to

Question

∫ ( cos 2 x- cos 2 α/ cos x- cos α) d x is equal to (A) 2( sin x-x cos α)+c (B) 2( sin x-2 x cos α)+c (C) 2( sin x+x cos α)+ c (D) 2( sin x+2 x cos α)+c

Tardigrade Admin · Accepted Answer

2 ∫ ( cos 2 x- cos 2 α/ cos x- cos α) d x=2 ∫( cos x+ cos α) d x =2[ sin x+x cos α]

Q. $\int \frac{c o s 2 x - c o s 2 α}{c o s x - c o s α} d x$ is equal to

$2 (sin x - x cos α) + c$

$2 (sin x - 2 x cos α) + c$

$2 (sin x + x cos α) + c$

$2 (sin x + 2 x cos α) + c$

$2 \int \frac{c o s ^{2} x - c o s ^{2} α}{c o s x - c o s α} d x = 2 \int (cos x + cos α) d x$
$= 2 [sin x + x cos α]$

Q. ∫cosx−cosαcos2x−cos2α​dx is equal to

2(sinx−xcosα)+c

2(sinx−2xcosα)+c

2(sinx+xcosα)+c

2(sinx+2xcosα)+c