If `f(x)=int_(x^2)^(x^2+1)e^-t^2dt` , then `f(x)` increases in `(0,2)` (b) no value of `x` `(0,oo)` (d) `(-oo,0)`

If f(x)=int_(x^(2))^(x^(2)+1)e^(-t^(2))dt , then find the interval in which f(x) increases.

If f(x)=int_(0)^(x)|t-1|dt , where 0lexle2 , then

If int_(0)^(x) f(t)dt=x^2+int_(x)^(1) t^2f(t)dt , then f'(1/2) is

If int_(0)^(x^(2)(1+x))f(t)dt=x , then the value of f(2) is.

If f(x)=2x+cot^(-1)x+log(sqrt(1+x^2)-x) then f(x) (a)increase in (0,oo) (b)decrease in [0,oo] (c)neither increases nor decreases in [0,oo] (d)increase in (-oo,oo)

Let f(x)=int_(0)^(x)(e^(t))/(t)dt(xgt0), then e^(-a)[f(x+1)-f(1+a)]=

Let f(x)=1/x^2 int_0^x (4t^2-2f'(t))dt then find f'(4)

Let f(x)=inte^x(x-1)(x-2)dxdot Then f decreases in the interval (a) (-oo,-2) (b) -2,-1) (c) (1,2) (d) (2,+oo)

int_(0)^(oo)e^(-x^(2))dx=(sqrtpi)/(2) then

The domain of the function f(x)=sqrt(x^2-[x]^2) , where [x] is the greatest integer less than or equal to x , is (a) R (b) [0,+oo) (c) (-oo,0) (d) none of these