Home
Class 12
MATHS
int(cosx+sinx)/(sqrt(1+sin2x))dx,x in[-(...

`int(cosx+sinx)/(sqrt(1+sin2x))dx,x in[-(pi)/(4),(3pi)/(4)]`

Text Solution

Verified by Experts

The correct Answer is:
x+c
Doubtnut Promotions Banner Mobile Dark
|

Similar Questions

Explore conceptually related problems

Evalute the following integrals int sqrt(1 + sin 2 x ) " dx , x in [ - (pi)/(2), (pi)/(2)]

int(cosx)/(sqrt(3sin^(2)x-4sinx+5))dx

Knowledge Check

  • int (sinx+cosx)/(sqrt(1+sin 2x))dx=

    A
    `-x+c`
    B
    `x+c`
    C
    `cos x+sin x+c`
    D
    `sinx-cos x+c`

  • int(3cosx+2 sin x)/(4 sinx+5 cos x)dx=

    A
    `(23x)/(41)-(2)/(41)log|4 sin x+5 cos x|+c`
    B
    `(2x)/(41)+(23)/(41)log|4 sin x+5 cos x|+c`
    C
    `(23x)/(41)+(2)/(41)log|4 sin x+5 cos x|+c`
    D
    none

    • Similar Questions

    Explore conceptually related problems

    Integrate the following functions with respect to x. sqrt(1-sin2x)x in((pi)/(4),(5pi)/(4))

    Integrate the following functions with respect to x. =sqrt(1+sin2x,) x in((3pi)/(4),(7pi)/(4))

    Evaluate the integerals. int (cos x + sin x)/(sqrt(1+sin 2x))dx onj I sub{ 2n pi -(pi)/(4), 2n p,i +(3pi)/(4)}, n in Z.

    Evaluate the integerals. int sqrt(1- sin 2x)dx on I sub{2n pi -(3pi)/(4), 2n pi +(pi)/(4)}, n in Z.

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

    A:int_(0)^(pi//2)(sqrtsinx)/(sqrt(sinx)+sqrtcosx)dx=(pi)/(4) R:int_(0)^(pi//2)(f(sinx))/(f(sinx)+f(cosx))dx=(pi)/(4)

    Home
    Profile