Evaluate int(-pi//4)^(pi//4)log(cosx+sin...

Evaluate `int_(-pi//4)^(pi//4)log(cosx+sinx)dx`.

Verified by Experts

The correct Answer is:

`pi/8"log"(1/2)`

INTEGRATION
ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (6 MARK)|4 Videos
INTEGRATION
ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (1 MARK)|26 Videos
DIFFERENTIAL EQUATION
ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE (LONG ANSWER TYPE QUESTIONS)|21 Videos
INVERSE TRIGONOMETRIC FUNCTIONS
ARIHANT PUBLICATION|Exercise CHAPTER PRACTICE |35 Videos

Evaluate int(x^(3)+x)/(x^(4)-9)dx
Text Solution
|
Evaluate int((2x^(2)+1)dx)/(x^(2)(x^(2)+4))
Text Solution
|
Evaluate int(dx)/(x(x^(5)+3)).
Text Solution
|
Evaluate int(x^(2))/((x^(2)+a^(2))(x^(2)+b^(2)))dx
Text Solution
|
Evaluate int(x^(2)+1)/((x^(2)+4)(x^(2)+25))dx.
Text Solution
|
Evaluate int(x^(2))/(x^(4)-x^(2)-12)dx.
Text Solution
|
Evaluate int(dx)/((x-1)sqrt(x^(2)+4))
Text Solution
|
Evaluate int(sqrt(x))/(x+1)dx.
Text Solution
|
Evaluate int(0)^(2)e^(x)dx as limit of sums
Text Solution
|
Evaluate int(0)^(1)((1-x)/(1+x))dx
Text Solution
|
Evaluate int(1)^(sqrt(2))(dx)/(xsqrt(x^(2)-1))
Text Solution
|
Evaluate int(0)^(4)(|x|+|x-2|+|x-4|)dx.
Text Solution
|
Evaluate int(0)^(pi//2)(cos^(5)x)/(sin^(5)x+cos^(5)x)dx.
Text Solution
|
Evaluate int(0)^(pi)x sin x cos^(2)xdx.
Text Solution
|
Evaluate int(0)^(pi//2)(1-cos2x)/(1+cos2x)dx.
Text Solution
|
Evaluate int(0)^(pi)a^(2)cos^(2)xdx.
Text Solution
|
Evaluate int(0)^(pi//2)logsinxdx.
Text Solution
|
Evaluate int(0)^(pi//2)|cosx-sinx|dx.
Text Solution
|
Evaluate int(-pi//2)^(pi//2)|sinx|dx.
Text Solution
|
Evaluate int(-pi//4)^(pi//4)log(cosx+sinx)dx.
Text Solution
|

Similar Questions