If `I_1 = int_(-100)^(101) dx/((5+2x-2x^2)(1+e^(2-4x))` and
`I_2= int_(-100)^(101) dx/(5+2x-2x^2), then I_1/I_2 is (a) 2 (b) 1/2 (c) 1 (d) -1/2`

"I f"I_1=int_(-100)^(101)(dx)/((5+2x-2x^2)(1+e^(2-4x))) "and"I_2=int_(-100)^(101)(dx)/(5+2x-2x^2),t h e n(I_1)/(I_2)"i s" (a)2 (b) 1/2 (c) 1 (d) -1/2

Evaluate int_0^1(dx)/((5+2x-2x^2)(1+e^(2-4x))) dx

If f(x) =(e^x)/(1+e^x), I_1=int(f(-a))^(f(a)) xg(x(1-x)dx, and I_2=int_(f(-a))^(f(a)) g(x(1-x))dx, then the value of (I_2)/(I_1) is (a) -1 (b) -2 (c) 2 (d) 1

int_(1)^(2)(1/(x)-(1)/(2x^(2)))e^(2x)dx

Let I=int_1^2 (dx)/sqrt(2x^3-9x^2+12x+4) then

I=int(dx)/((2a x-x^2)

Evaluate: int_(-1)^0(dx)/(x^2+2x+2)

Find int_(1)^(5)x^(2)dx

Let f be a positive function. Let I_1=int_(1-k)^k xf([x(1-x)])dx , I_2=int_(1-k)^kf[x(1-x)]dx ,w h e r e2k-1> 0. T h e n(I_1)/(I_2)i s 2 (b) k (c) 1/2 (d) 1

For x in R and a continuous function f, let I_1=int_(s in^2t)^(1+cos^2t)xf{x(2-x)}dxa n dI_2= int_(sin^2t)^(1+cos^2)xf{x(2-x)}dxdotT h e n(I_1)/(I_2) is -1 (b) 1 (c) 2 (d) 3