Statement 1: `int(sinxdx)/x ,(x >0),` cannot be evaluated. Statement 2: Only differentiable functions can be integrated.

int x sinxdx

int(sinxdx)/(1-cos x)=

2. int e^(x)sinxdx

4*int(sinxdx)/ cos^(3/2)x

Statement-1: The function f(x)\ =\ ln\ x is increasing in (0,10) and g(x) = 1/x is decreasing in (0,10) Statement-2: If a differentiable function increases in the interval (a , b) then its derivative function decreases in the interval (a , b) .

Statement -1 : lim_( x to 0) (sin x)/x exists ,. Statement -2 : |x| is differentiable at x=0 Statement -3 : If lim_(x to 0) (tan kx)/(sin 5x) = 3 , then k = 15

Let f(x)={x^n sin (1/x) , x!=0; 0, x=0; and n>0 Statement-1: f(x) is continuous at x=0 and AA n>0. and Statement-2: f(x) is differentiable at x=0 AA n>0 (1) Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1. (2) Statement-1 is True, Statement-2 is True Statement-2 is NOT a correct explanation for Statement-1. (3) Statement-1 is True, Statement-2 is False (4) Statement-1 is False, Statement-2 is True.

Each question has four choices, a,b,c and d,out of which only one is correct. Each question contains STATEMENT 1 and STATEMENT 2. if both the statements are true and statement 2 is the correct explanation of statement 1. If both the statements are true but statement 2 is not the correct explanation of statement 1. If statement is True and statement2 is false. If statement1 is false and statement2 is true. Statement 1: f(x)=(log)_ex cannot be expressed as the sum of odd and even function. Statement 2 : f(x)=(log)_e x in neither odd nor even function.

Statement-1 : A body with negative energy cannot have momentum. Statement-2 : This is because momentum can be positive only.