Evaluate int tan^-1 sqrt((1-x)/(1+x))dx...

Evaluate `int tan^-1 sqrt((1-x)/(1+x))dx`

Text Solution

Verified by Experts

The correct Answer is:

`sin 2 theta`

Doubtnut Promotions Banner Desktop Dark

Doubtnut Promotions Banner Mobile Dark

|

Topper's Solved these Questions

INTEGRATION
ARIHANT PRAKASHAN|Exercise TOPIC 1 (PRACTISE QUESTIONS) (6 MARK QUESTIONS)|18 Videos
INTEGRATION
ARIHANT PRAKASHAN|Exercise TOPIC TEST 1|15 Videos
INTEGRATION
ARIHANT PRAKASHAN|Exercise CHAPTER TEST (6 MARK QUESTIONS) |7 Videos
EXAMINATION PAPER 2019
ARIHANT PRAKASHAN|Exercise Group -C|11 Videos
INVERSE TRIGONOMETRIC FUNCTIONS
ARIHANT PRAKASHAN|Exercise Chapter Test (6 MARKS Questions) |3 Videos

Similar Questions

Explore conceptually related problems

Evaluate int tan^-1 sqrt(sqrtx-1) dx

Evaluate int sqrt((1+cos x)/(1-cos x))dx

Evaluate int (sin^-1 sqrtx)/sqrt(1-x) dx

Evaluate int x tan^-1 x dx

Evaluate int tan^-1 x dx .

Evaluate int (sin^-1x)/sqrt(1-x^2) dx

Evaluate int (x^2 tan^-1 x^3)/(1+x^6) dx

Evaluate int e^x ((1+sinx)/(1+cos x)) dx

Evaluate int_0^1 tan^-1 x dx

Evaluate int_1^0 (tan^-1 x)/(1+x^2) dx

ARIHANT PRAKASHAN-INTEGRATION -TOPIC 1 (PRACTISE QUESTIONS) (4 MARK QUESTIONS)

Evaluate int (dx)/(x[(logx)^2+25])
02:26
|
Evaluate int sin^(-1) x dx
03:28
|
Evaluate int tan^-1 sqrt((1-x)/(1+x))dx
07:22
|
Evaluate int (e^x-1)/(e^x+1) dx
03:14
|
Evaluate int sin^4 x cos^3 x dx
03:06
|
Evaluate int x^2 sin x dx
04:02
|
Evaluate int (cos x)/(sin^2x+sin x)dx
02:47
|
Evaluate int (cos 3x cos x)/(1+cos 2x) dx
05:33
|
Evaluate int e^x (cot x+ln sin x) dx
03:55
|
Evaluate int (dx)/sqrt(4+4x+x^2)
02:14
|
Evaluate int xe^(-x^2) dx
02:52
|
Evaluate int (4x-5)/(x^2-x-2)dx
04:29
|
Evaluate int (e^x sin e^x)/(sqrt(16+cos^2 e^x)) dx
03:50
|
Evaluate int sqrt(1+2x+x^2) dx
01:21
|
Evaluate int (x^3)/(x^4-x^2-2) dx
08:29
|
int(x^2+2x+7)sqrt(x+1)dx
05:38
|
Evaluate int ( sin4x + cos 2x)/( sin4xcos 2x) dx
03:28
|
int(2x+5)/(x+2)^(7/2)dx
08:06
|
Evaluate int (dx)/sqrt((16+x^2-8x))
02:00
|
Evaluate int (3x dx)/((x-4)(x+2))
04:21
|