 ×     #### Thank you for registering.

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

Click to Chat

1800-1023-196

+91-120-4616500

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

∫ (tanx) / (a+b tan 2 x) dx , plz answer asap, thank you.
∫ (tanx) / (a+b tan2x) dx , plz answer asap, thank you.


3 years ago

							First write down the whole fuction using sines and cosines, then you will notice that the you can convert this asthe derivarive of denominator is equal to the numerator.

3 years ago
							First, write down the whole function using sines and cosines (int = symbol of integration)a  = a/bb  int           sin(x)/cos(x)         a + b.sin^2(x)/cos^2(x) int             sin(x).cos(x)          a.cos^2(x) + b.sin^2(x) Let, a.cos^2(x) + b.sin^2(x) = t    ….........................eq ( i )        a.cos(x)[-sin(x)].dx + b.2sin(x).cos(x).dx = dt        cos(x).sin(x).dx = dt.½.(b – a) ….......................eq ( ii )    Therefore substituting the value of eq (i) and eq (ii) in the above question int     [1/t.   dt.1/2(b – a)] 1/2(b – a)   int   dt/t      ….......................Since 1/2(b – a) is a constant 1/2(b – a) .  [loge|t|  + c] 1/2(b – a).loge |a.cos^2(x) + b.sin^2(x)| + c  …............ is the answer

one month ago
Think You Can Provide A Better Answer ?

## Other Related Questions on Integral Calculus

View all Questions »  ### Course Features

• 731 Video Lectures
• Revision Notes
• Previous Year Papers
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Test paper with Video Solution  ### Course Features

• 51 Video Lectures
• Revision Notes
• Test paper with Video Solution
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Previous Year Exam Questions