#### Thank you for registering.

One of our academic counsellors will contact you within 1 working day.

Click to Chat

1800-5470-145

+91 7353221155

CART 0

• 0
MY CART (5)

Use Coupon: CART20 and get 20% off on all online Study Material

ITEM
DETAILS
MRP
DISCOUNT
FINAL PRICE
Total Price: Rs.

There are no items in this cart.
Continue Shopping

# integrate sin(x-a)dx/sin(x+a)

509 Points
11 years ago

I={sinx-a/sinx+a }dx

put x+a=t

so    dx=dt

I={sin(t-2a) /sint }dt                     (sina-b=sinacosb-cosasinb)

I ={sintcos2a -costsin2a/sint }dt

I ={cos2a - cottsin2a}dt

I={tcos2a -sin2alogsint} +c

I={(x+a)cos2a-sin2a.logsin(x+a)} + c

Rishi Sharma
askIITians Faculty 646 Points
one year ago
Dear Student,
Please find below the solution to your problem.

I={sinx-a/sinx+a }dx
put x+a=t
so dx=dt
I={sin(t-2a) /sint }dt (sina-b=sinacosb-cosasinb)
I ={sintcos2a -costsin2a/sint }dt
I ={cos2a - cottsin2a}dt
I={tcos2a -sin2alogsint} +c
I={(x+a)cos2a-sin2a.logsin(x+a)} + c

Thanks and Regards