The values of `a` for which the integral `int_0^2|x-a|dxgeq1` is satisfied are (a)`(2,oo)` (b) `(-oo,0)` (c)`(0,2)` (d) none of these

The value of the integral int_(0)^(oo)(1)/(1+x^(4))dx is

The value of the integral int_(-2)^2|1-x^2|dx is 4 b. 2 c. -2 d. 0

The values of x for which 1/(1+sqrt(x)), 1/(1-x), 1/(1-sqrt(x) are in A.P. lie in the interval (A) (0,oo) (B) (1,oo) (C) (0,1) (D) none of these

Evaluate the following integral: int_0^oo(logx)/(1+x^2)dx

f(x) = x^2 increases on: (a) ( 0,oo) (b) (-oo,0) (c) (-7,-3) (d) (-oo,-3)

Integrate: int_(0)^(oo)sin x dx

The value of definite integral int_(0)^(oo)In(x+(1)/(x))(dx)/(1+x^(2)) is equal to

The set of all values of a for which both roots of equation x^2-ax+1=0 are less than unity is (A) (-oo,-2) (B) (-2,oo) (C) (-2,3) (D) (-oo,-1)

The solution set of the inequality max {1-x^(2),|x-1|}<1 is (-oo,0)uu(1,oo) (b) (-oo,0)uu(2,oo)(0,2)(d)(0,2)