If `x=csqrt(b)+4,f i n dx+1/x`.

If x=csqrt(d) + 4 , find x+(1)/(x) .

If y=e^(x) + x f i n d dy/dx.

If int1/(("s i n x"+4)("sin"-1))"dx"="A"/(tan"x"/2-1)+"B t a n"^(-1)"f"("x")+"c" then A=2/5 b. B=-2/(5sqrt(15)) c. f(x)=(4t a n x+1)/5 d. f(x)=(4tan=x/2+1)/(15)

y=tan^(- 1)sqrt((1-x)/(1+x))f i n d(dy)/(dx)

y=tan^(- 1)sqrt((1-x)/(1+x))f i n d(dy)/(dx)

Iff(2-x)=f(2+x)a n df(4-x)=f(4+x) for all xa n df(x) is a function for which int_0^2f(x)dx=5,t h e nint_0^(50)f(x)dx is equal to (a)125 (b) int_(-4)^(46)f(x)dx (c) int_1^(51)f(x)dx (d) int_2^(52)f(x)dx

Iff(2-x)=f(2+x)a n df(4-x)=f(4+x) for all xa n df(x) is a function for which int_0^2f(x)dx=5,t h e nint_0^(50)f(x)dx is equal to 125 (b) int_(-4)^(46)f(x)dx int_1^(51)f(x)dx (d) int_2^(52)f(x)dx

If ((1 +i)/(1 -i))^(x) =1 , then (A) x=2n+1 (B) x=4n (C) x=2n (D) x=4n+1, n in N.

If ((1 +i)/(1 -i))^(x) =1 , then (A) x=2n+1 (B) x=4n (C) x=2n (D) x=4n+1, n in N.

Let f(x) = {{:((x)/(sin x) ",",x in "(0,1)"),(1",",x=0):} Consider the integral I_(n) = sqrt(n)int_(0)^(1//n) f(x)e^(-n x)dx . Then lim_(n rarr infty) I_(n)