5.10g(cos e^(x))

int(e^(x)-sin x)/(cos x+e^(x))dx

int e^(x)cos e^(x)dx

Evaluate the following limit: (lim)_(x->0)(cos(x e^x)-"cos"(x e^(-x)))/(x^3)

cos(x^(2)e^(x))

int(x(sin x+cos x)+cos x)/(e^(-x)+x sin x+cos x)dx=f(x)+log|g(x)|+c then f(x)+g(x)=

If F(x)a n dG(x) are even and odd extensions of the function f(x)=x|x|+"sin"|x|+x e^x ,w h e r ex in (0,1),g(x)=cos|x|+x^2-x ,w h e r ex in (0,1) respectively to the interval (-1, 0)t h e nF(x)+G(x) in (-1,0) is (a). sin x+cos x+x e^(-x) (b)(sin x+cos x+x e^(-x)) (c)-(sin x+cos x+x+x e^(-x)) (d)(sin x+cos x+x^2+x e^(-x))

If F(x)a n dG(x) are even and odd extensions of the function f(x)=x|x|+"sin"|x+x e^x ,w h e r ex in (0,1),g(x)=cos|x|+x^2-x ,w h e r ex in (0,1) respectively to the interval (-1, 0)t h e nF(x)+G(x) in (-1,0) is (a). sin x+cos x+x e^(-x) (b)(sin x+cos x+x e^(-x)) (c)(sin x+cos x+x+x e^(-x)) (d)(sin x+cos x+x^2+x e^(-x))

Prove that (cos3x)/(sin2xsin4x)+(cos5x)/(sin4xsin6x)+(cos7x)/(sin6xsin8x)+(cos9x)/(sin8xsin10 x) = 1/2(cos e cx)[cos e c2x-cos e c10x]

Prove that (cos3x)/(sin2xsin4x)+(cos5x)/(sin4xsin6x)+(cos7x)/(sin6xsin8x)+(cos9x)/(sin8xsin10 x) = 1/2(cos e cx)[cos e c2x-cos e c10x]

Prove that (cos3x)/(sin2xsin4x)+(cos5x)/(sin4xsin6x)+(cos7x)/(sin6xsin8x)+(cos9x)/(sin8xsin10 x) = 1/2(cos e cx)[cos e c2x-cos e c10x]