" (iii) "e^(cos^(2)x)sin2x

int_(0)^(pi//2)e^(cos^(2)x)sin 2x dx=

The value of the definite integral int_(0)^( pi)((1-x sin2x)e^(cos^(2)x)+(1+x sin2x)e^(sin^(2)x)) dx is equal to

The maximum value of f(x)=|(sin^(2)x,1+cos^(2)x,cos2x),(1+sin^(2)x,cos^(2)x,cos2x),(sin^(2)x,cos^(2)x,sin2x)|,x inR is :

If cos2x+2cosx=1t h e n ,(2-cos^2x)sin^2x is equal to

int sin2x*e^(cos^(2)x)dx

(i) int e^(2x) ((1+sin2x)/(1+cos2x)) dx (ii) int e^(2x) ((sin4x-2)/(1-cos4x))

"int e^(sin x)((x cos^(2)x-sin x)/(cos^(2)x))dx

If sin^(4)2x+cos^(4)2x=sin2x*cos2x then x=

underset(x to 0)lim (e^(x^(2))-cos x)/(sin^(2) x) is equal to :