`intsin^(- 1)(cosx)dx `,` 0le x le pi`

Evaluate: (i) intsin^(-1)(cosx)\ dx ,\ \ 0lt=xlt=pi (ii) inttan^(-1){sqrt(((1-cos2x)/(1+cos2x)))}\ dx ,\ \ 0 le x le pi//2

Evaluate: (i) intsin^(-1)(cosx)\ dx ,\ \ 0lt=xlt=pi (ii) inttan^(-1){sqrt(((1-cos2x)/(1+cos2x)))}\ dx ,\ \ 0 le x le pi//2

The value of sin^(-1) (cos x ) , 0 le x le pi is :

Evaluate: (i) intsin^(-1)(cosx) dx , 0lt=xlt=pi (ii) inttan^(-1){sqrt(((1-cos2x)/(1+cos2x)))} dx , 0

Differentiate tan^(-1){(cosx)/(1+sinx)},\ 0 le x le pi

Let y=y(x) be the solution of the differential equation cos x(3sinx+cosx+3)dy=(1+y sin (3sinx+cosx+3))dx, 0 le x le (pi)/(2), y (0)=0 . Then, y((pi)/(3)) is equal to :

The number of real solutions of abs(y)=sinx, y=cos^(-1)(cosx), -2pi le x le 2pi is

Find the intervals in which f(x)=log(cosx), 0 le x le 2pi is increasing.