" ?1."e^(2x)sin x

Solve: |-2x^(2)+1+e^(x)+sin x|=|2x^(2)-1|+e^(x)+|sin x|,x in[0,2 pi]

The value of lim_(x rarr0)(sin x+log_(e)(sqrt(1+sin^(2)x)-sin x))/(sin^(3)x)

Evaluate the following definite integral: int_0^1(x e^(2x)+sin pix/2)dx

If Delta(x) = |{:(x ,, 1+ x^(2) ,, x^(3)), ("log" (1+ x ^(2)) ,, e^(x) ,, sin x), ( cos x ,, tan x , , sin^(2)x):}| , then-

int e^(x)(1-sin x)/(1+sin x)=-e^(x)cot((x)/(2))+c

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

lim_(x to 0)(e^(2x)-1)/(sin 3x) = ?

e ^ (x) sin x tan x + e ^ (x) sin x + e ^ (x) sin x sec ^ (2) x

Find int e^(2x) sin (3x + 1) dx