Home
Class 12
MATHS
int(0)^(pi//2)(sinx-cosx)/(1+sinx cosx)d...

`int_(0)^(pi//2)(sinx-cosx)/(1+sinx cosx)dx`

Text Solution

Verified by Experts

The correct Answer is:
0
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • DEFINITE INTEGRAL

    FIITJEE|Exercise EXERCISE 8:|6 Videos

  • DEFINITE INTEGRAL

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (SUBJECTIVE) (LEVEL-I)|13 Videos

  • DEFINITE INTEGRAL

    FIITJEE|Exercise EXERCISE 3:|5 Videos

  • COMPLEX NUMBER

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

  • DETERMINANT

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

Similar Questions

Explore conceptually related problems

int_(0)^(pi//2)((sinx-cosx))/((1+sinxcosx))dx=0

Evaluate int_0^(pi/2) (sinx-cosx)/(1+sinxcosx)dx

Knowledge Check

  • int_(0)^(pi//2) abs(sinx-cosx) dx=

    A
    0
    B
    `sqrt(2) -1`
    C
    `2sqrt(2)-2`
    D
    `2sqrt(2) +2`

  • int_(0)^(2pi)(sinx+cosx)dx=

    A
    0
    B
    2
    C
    -2
    D
    1

  • Given int_(0)^(pi//2)(dx)/(1+sinx+cosx)=A . Then the value of the definite integral int_(0)^(pi//2)(sinx)/(1+sinx+cosx)dx is equal to

    A
    `1/2A`
    B
    `(pi)/2-A`
    C
    `(pi)/4-1/2A`
    D
    `(pi)/2+A`

    • Similar Questions

    Explore conceptually related problems

    int_(0)^(pi//2)(sinx-cosx)log(sinx+cosx)dx=0

    Evaluate the following : int_(0)^(pi//2)(sinx)/(sinx+cosx)dx

    Evaluate : (i) int_(0)^(2pi) {sin(sinx)+sin(cosx)}dx , (ii) int_(0)^(pi) (dx)/(5+4cos2x) (iii) int_(pi//2)^(0)(2 lnsinx-ln sin2x)dx , (iv) int_(0)^(pi//2) (asinx+bcosx)/(sinx+cosx)dx , (v) int_(0)^(pi//2) (sinx-cosx)/((sinx+cosx)^(2))dx

    int_(0)^(pi//2)(sinx)/((sinx+cosx))dx=?

    int_(0)^(pi//2) e^x(sinx+cosx) dx

    Home
    Profile