`int_0^(sqrt(2)) [x^2] dx` is equal to (A) `2-sqrt(2)` (B) `2+sqrt(2)` (C) `sqrt(2)-1` (D) `sqrt(2)-2`

The value of the integral int_0^(100pi) sqrt(1-cosx)dx is equal to (A) 300sqrt(2) (B) 200sqrt(2) (C) 400sqrt(2) (D) 500sqrt(2)

The value of int_(0)^(sqrt(2))[x^(2)]dx ,where [.] is the greatest integer function (A) 2-sqrt(2) (B) 2+sqrt(2) (C) sqrt(2)-1 (D) sqrt(2)-2

int_(0)^(2)sqrt((2+x)/(2-x))dx is equal to

int_(0)^(2)[x^(2)]dx is equal to 2-sqrt(2)b.2+sqrt(2)csqrt(2)-1d.-sqrt(2)-sqrt(3)+5

int _(0)^(2) sqrt((2+x)/(2-x)) dx is equal to

A solution of sin^-1 (1) -sin^-1 (sqrt(3)/x^2)- pi/6 =0 is (A) x=-sqrt(2) (B) x=sqrt(2) (C) x=2 (D) x= 1/sqrt(2)

(1)/(sqrt(9)-sqrt(8)) is equal to: 3+2sqrt(2)(b)(1)/(3+2sqrt(2)) (c) 3-2sqrt(2)(d)(3)/(2)-sqrt(2)

(12)/(3+sqrt(5)+2sqrt(2)) is equal to 1-sqrt(5)+sqrt(2)+sqrt(10) (b) 1+sqrt(5)+sqrt(2)-sqrt(10) (c) 1+sqrt(5)-sqrt(2)+sqrt(10) (d) 1-sqrt(5)-sqrt(2)+sqrt(10)

The value of the integral int_0^(3/2) [x^2]dx , where [] denotes the greatest integer function, is (A) 2+sqrt(2) (B) 2-sqrt(2) (C) 4+2sqrt(2) (D) 4-2sqrt(2)

If cos (sin^(-1)(2/sqrt(5)) + cos^(-1)x) = 0, then x is equal to A) 1/sqrt(5) B) (-2/sqrt(5)) C) (2/sqrt(5)) D) 1