If `y={(log)_(cosx)sinx}{(log)_(sinx)cosx}^(-1)+sin^(-1)((2x)/(1+x^2)),`fin d`(dy)/(dx)a tx=pi/4`

The smallest positive x satisfying the equation (log)_(cosx)sinx+(log)_(sinx)cosx=2 is pi/2 (b) pi/3 (c) pi/4 (d) pi/6

The smallest positive value of x (in radians) satisfying the equation (log)_(cosx)((sqrt(3))/2sinx)=2-(log)_(secx)(tanx) is (a) pi/(12) (b) pi/6 (c) pi/4 (d) pi/3

y = a sinx log_(10)x + e^(2x), find dy/dx.

If f(x)=cos^(-1)(1/sqrt(13))(2cosx-3sinx) +sin^(-1)(1/sqrt(13))(2cosx+3sinx)wdotrdottsqrt(1+x^2), then find (df(x))/(dx) at x=3/4dot

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

If y+d/(dx)(x y)=x(sinx+logx),fin dy(x)dot

Evaluate int(cosx)/((1-sinx)(2+sinx))dx

(cosx)/((1-sinx)(2-sinx)) [Hint : Put sin x = t]

Simplify : sin^(-1)((sinx+cosx)/(sqrt(2))),(-pi)/(4)ltxlt(pi)/(4)