Find the maximum value of `sqrt(3)sinx+cosx` and `x` for which a maximum value occurs.

Evaluate: int1/(sqrt(3)sinx+cosx)dx

Find the maximum value of (sec^(-1) x) (cosec^(-1) x), x ge 1

Evaluate int(sqrt(tanx))/(sinx cosx)dx

Find the derivative of (sinx+cosx)/(sinx-cosx)

If A=4sintheta+cos^2theta, then which of the following is not true? (a) maximum value of A is 5. (b)minimum value of A is -4 (c) maximum value of A occurs when sintheta=1/2dot (d) Minimum value of A occurs when maximum value of sin theta =1

The maximum value of cos^2(45^0+x)+(sinx-cosx)^2 is ______

The maximum value of sinx 1 ​ +2sinx 2 ​ +3sinx 3 ​ is

L e tf(x)={x^2+3x ,-1lt=x<0-sinx ,0lt=x

Find the maximum value of 2x^(3) – 24x + 107 in the interval [1, 3]. Find the maximum value of the same function in [–3, –1].

Find the maximum and minimum values of f(x)=|x+3|AAx inRR .