Evaluate the definite integral: int(pi/6...

Evaluate the definite integral: `int_(pi/6)^(pi/3) (sinx+cosx)/(sqrtsin2x)dx`

Text Solution

Verified by Experts

The correct Answer is:

`2sin^(-1)((sqrt(3)-1)/2)`

Promotional Banner

Promotional Banner

Topper's Solved these Questions

DEFINITE INTEGRALS
ACCURATE PUBLICATION|Exercise QUESTION CARRYING 4 MARKS|8 Videos
DEFINITE INTEGRALS
ACCURATE PUBLICATION|Exercise QUESTION CARRYING 1 MARK - TYPE-III|19 Videos
CONTINUITY
ACCURATE PUBLICATION|Exercise QUESTIONS CARRYING 4 MARKS|17 Videos
DETERMINANTS
ACCURATE PUBLICATION|Exercise (Question carrying 6 marks)|7 Videos

Similar Questions

Explore conceptually related problems

Evaluate the definite integral: int_(pi/6)^(pi/4)(cosecx)dx

Evaluate the definite integral: int_0^(pi/4)(tanx)dx

Evaluate the definite integral: int_0^(pi/4) (sinx+cosx)/(9+16sin2x)dx

Evaluate the definite integral: int_0^(pi/2)(cos 2x)dx

Evaluate the definite integral: int_0^(pi/2)(cos^2x)dx

Evaluate the definite integral: int_(pi/2)^pi e^x ((1-sinx)/(1-cosx))dx

Evaluate the definite integral: int_0^(pi/4)(2sec^2x + x^3+2)dx

ACCURATE PUBLICATION-DEFINITE INTEGRALS-QUESTION CARRYING 2 MARKS

Evaluate : int(pi/4)^(pi/2)cos2xlogsinxdx.
Text Solution
|
Evaluate : int(0)^(pi/2)(x+sinx)/(1+cosx)dx.
Text Solution
|
Evaluate : int(0)^(1)xe^(x^(2))dx
Text Solution
|
Evaluate : int(0)^(pi/2)(cos^(2)x)/(1+3sin^(2)x)dx
Text Solution
|
Evaluate : int(e)^(e^(2))(dx)/(xlogx)
Text Solution
|
Prove that : int(0)^(pi/4)(sqrt(tanx)+sqrt(cotx))dx=sqrt(2).pi/2.
Text Solution
|
Evaluate the definite integral: int(pi/6)^(pi/3) (sinx+cosx)/(sqrtsin2...
Text Solution
|
Evaluate int(0)^(pi/2)sin2xtan^(-1)(sinx)dx.
Text Solution
|
Evaluate : int(0)^(pi/2)2^(sinx)/(2^(sinx)+2^(cosx))dx.
Text Solution
|
Evaluate int(pi//6)^(pi//3) ((1)/(1+sqrttanx) dx
Text Solution
|
Evaluate int(0)^(pi//4)log(1+tan x)dx.
Text Solution
|
Evaluate int(-1)^(1)abs(2x+1)dx.
Text Solution
|