Evaluate the following integral: int(pi/...

Evaluate the following integral: `int_(pi//3)^(pi//2)(sqrt(1+cosx))/((1-cosx)^(3//2))dx`

Text Solution

AI Generated Solution

Doubtnut Promotions Banner Desktop Dark

Doubtnut Promotions Banner Mobile Dark

|

Topper's Solved these Questions

CONTINUITY
RD SHARMA ENGLISH|Exercise All Questions|282 Videos
DERIVATIVES AS A RATE MEASURER
RD SHARMA ENGLISH|Exercise All Questions|168 Videos

Similar Questions

Explore conceptually related problems

int_(pi//3)^(pi//2) (sqrt(1+cosx))/((1-cosx)^(5//2))\ dx

Evaluate the following integral: int_0^(pi//2)(sinx)/(sqrt(1+cosx))dx

Evaluate the following integral : int_pi^(3pi//2)sqrt(1-cos)\ 2x\ dx

Evaluate the following integral: int_0^(pi//2)(x+sinx)/(1+cosx)dx

Evaluate the following definite integral: int_0^(pi//2)sqrt(1+cosx\ )dx

Evaluate the following integral: int_(pi//6)^(pi//3)1/(1+cot^(3//2)x)dx

Evaluate the following integral: int_0^pi1/(5+3cosx)dx

Evaluate the following integral: int_0^pi(dx)/(6-cosx)

Evaluate the following integral: int_0^(pi//4)(sin x+cosx)/(3+sin2x)dx

Evaluate the following integral: int_(-pi)^pi(2x(1+sinx))/(1+cos^2dx)dx

RD SHARMA ENGLISH-DEFINITE INTEGRALS-All Questions

Evaluate the following integral: int0^(1//2)1/((1+x^2)sqrt(1-x^2))dx
07:38
|
Evaluate the following integral: int0^1(cos^(-1)x)^2dx
12:47
|
Evaluate the following integral: int(pi//3)^(pi//2)(sqrt(1+cosx))/((1-...
06:26
|
Evaluate the following integral: int(-a)^asqrt((a-x)/(a+x))dx
03:41
|
Evaluate the following integral: int(1//3)^1((x-x^3)^(1//3))/(x^4)dx
03:37
|
Evaluate: int(-pi//4)^(pi//4)(sec^2x)/(1+e^x)dx
04:40
|
Evaluate the following integral: int0^9f(x)dx ,\ w h e r e\ f(x)=sinx,...
04:17
|
Evaluate the following integral: int2^4f(x)dx ,\ w h e r e\f(x)={7x+3,...
04:35
|
Evaluate the following integral: int(-4)^4|x+2|dx
02:55
|
Evaluate the following integral: int(-1)^1|2x+1|dx
02:24
|
Evaluate the following integral: int(-6)^6|x+2|dx
02:59
|
Evaluate the following integral: int1^2|x-3|dx
01:26
|
Evaluate the following integral: int0^(2pi)|sin x|dx
03:01
|
Evaluate the following integral: int2^8|x-5|dx
02:37
|
Evaluate the following integral: int0^4|x-1|dx
02:25
|
Evaluate the following integral: int0^4(|x|+|x-2|+|x-4|)dx\
05:11
|
Evaluate the following integral: int(-2)^2 e^(|x|)dx
03:30
|
Evaluate the following integral: int(-pi//2)^pisin^(-1)(sin x)dx
01:47
|
Evaluate the following integral: int(-3)^3|x+1|dx
02:56
|
Evaluate the following integral: int(-1)^2|2x+3|dx
01:33
|