The value of `int_0^1 e^(x^2)dx` is
(A) less than `e` (B) greater than 1 (C) less than `e` but greater than 1 (D) all of these

The value of int_0^1e^(x^2-x)dx is (a) 1 (c) > e^(-1/4) (d)

The value of int_0^1e^(x^2-x) dx is (a) 1 (c) > e^(-1/4) (d) < e^(-1/4)

The value of int_(1)^(3) (|x-2|+[x])dx is ([x] stands for greatest integer less than or equal to x)

Comprehension 2 In comparison of two numbers, logarithm of smaller number is smaller, if base of the logarithm is greater than one. Logarithm of smaller number is larger, if base of logarithm is in between zero and one. For example log_2 4 is smaller than (log)_2 8\ a n d(log)_(1/2)4 is larger than (log)_(1/2)8. (log)_(2/3)5/6 is- a. less than zero b. \ greater than zero and less than one c. \ greater than one d. none of these

The probability of a certain event is (a)0 (b) 1 (c) greater than 1 (d) less than 0

The probability of an impossible event is (a)1 (b) 0 (c) less than 0 (d) greater than 1

The coefficient of x^3 in the expansion of (1+2x+3x^2)^(10) is - (1) less than 200 (2) less than 400 but greater than 200 (3) greater than 400 (4) 420

Show that i is neither 0, nor greater than 0, nor less than 0

Mechanical advantage is greater than 1 when the load is greater than the effort.

For a non singular matrix A of order n the rank of A is (A) less than n (B) equal to n (C) greater than n (D) none of these