The minimum value of `e^(2x^2-2x+1)sin^2x` is `e` (b) `1/e` (c) 1 (d) 0

The maximum value of x^4e^ (-x^2) is (A) e^2 (B) e^(-2) (C) 12 e^(-2) (D) 4e^(-2)

The maximum value of (logx)/x is (a) 1 (b) 2/e (c) e (d) 1/e

Find the minimum value of (sec^(-1)x)^2+("c o s e c"^(-1)x)^2

The value of int_0^1e^(x^2-x)dx is (a) 1 (c) > e^(-1/4) (d) none of these

The value of (lim)_(x->0)(e^(x^2)-e^x+x)/(1-cos2x) is a. 1 b. 1/2 c. 1/4 d.1/ 8

Minimum value of y=256sin^2x+324cos e c^2x,AAx in R is (a) 432 (b) 504 (c) 576 (d) 776

The domain of f(x)i s(0,1)dot Then the domain of (f(e^x)+f(1n|x|) is (a) (-1, e) (b) (1, e) (c) (-e ,-1) (d) (-e ,1)

If f(x)={(sin(2x^2)/a+cos((3x)/b))^a b//x^2,x!=0e^3, x=0 is continuous at x=0AAb in R then minimum value of a is -1//8 b. -1//4 c. -1//2 d. 0

integrate (e^(2x))/(e^(2x)+1)

If f^(prime)(x)=f(x)+int_0^1f(x)dx ,gi v e nf(0)=1, then the value of f((log)_2 2) is (a) 1/(3+e) (b) (5-e)/(3-e) (c) (2+e)/(e-2) (d) none of these