29. is equal to 2x 1)0 2)2 3) e 4) 1

(lim)_(x rarr0)((1-cos2x)(3+cos x)/(x tan4x)) is equal to (1)(1)/(2)(2)1(3)2(4)-(1)/(4)

lim _( x to 0) [ (2 ^(x) -1)/( sqrt (1 + ) x-1 )] is equal to: a) log _(e) 2 b) log _(e) sqrt2 c) log _(e) 4 d) 1/2

The value of int_(0)^(1)sqrt(x)e^(sqrt(x))dx is equal to a) ((e-2))/(2) b) 2(e-2) c) 2e-1 d) 2(e-1)

If f(1)=2, f\'(x)=f(x) and h(x)=fof(x) then h'\(1) is equal to (A) 4e (B) 2e^2 (C) 4e^2 (D) e^2

If int_(0)^(x)f(t)dt=x^(2)+e^(x)(xgt0) then f(1) is equal to a)1+e b)2+e c)3+e d)e

If (x^2+y^2)dy=xydx and y(1)=1 . If y(x_0)=e then x_0 is equal to (A) sqrt(2)e (B) sqrt(3)e (C) 2e (D) e

inte^x^4(x+x^3+2x^5)e^x^2dxis equal to 1/2x e^x^2e^x^4+c (b) 1/2x^2e^x^4+c 1/2e^x^2e^x^4+c (d) 1/2x^2e^x^2e^x^4+c

Let p=lim_(x rarr0+)(1+tan^(2)sqrt(x))^(1/2x) then log p is equal to: (1)2(2)1(3)(1)/(2)(4)(1)/(4)

If (2+sin x)(dy)/(dx)+(y+1)cos x=0 and y(0)=1, then y((pi)/(2)) is equal to -(1)/(3)(2)(4)/(3) (3) (1)/(3)(4)-(2)/(3)

int e^(x^(4))(x+x^(3)+2x^(5))e^(x^(2))dx is equal to (1)/(2)xe^(x^(2))e^(x^(4))+c( b) (1)/(2)x^(2)e^(x^(4))+c(1)/(2)e^(x^(2))e^(x^(4))+c(d)(1)/(2)x^(2)e^(x^(2))e^(x^(4))+c