(v) 1 2/3 x 1 3/5 is equal to

(1/5^-2 -1/4^-3 )x -1/2^-4 is equal to

lim _ ( x to 2 ) ( 3 ^(x) + 3 ^( 3 - x ) - 12 ) /( 3 ^( - x//2) - 3 ^( 1 -x)) is equal to __________

The value of int _(0)^(1) ((x ^(6) -x ^(3)))/((2x ^(3)+1)^(3)) dx is equal to :

If 3tan^(-1)(1/(2+sqrt(3)))-tan^(-1)1/x=tan^(-1)1/3, then x is equal to 1 (b) 2 (c) 3 (d) sqrt(2)

If tan^(-1)x+2cot^(-1)x=(2pi)/3, then x , is equal to (a) (sqrt(3)-1)/(sqrt(3)+1) (b) 3 (c) sqrt(3) (d) sqrt(2)

intx^(-2//3)(1+x^(1//2))^(-5//3) dx is equal to

The sum of the series (x-1)/(x+1)+1/2(x^(2)-1)/(x+1)^(2)+1/3(x^(3)-1)/(x+1)^(3) +…is equal to

The plane containing the line (x-3)/(2)=(y-b)/(4)=(z-3)/(3) passes through the points (a, 1, 2), (2, 1, 4), (2, 3, 5) , then 3a+5b is equal to

If x= 2+5i (where i^2 =-1) and 2(1/(1!9!)+1/(3!7!))+1/(5!5!)=2^a/(b!) , then the value of (x^3 - 5x^2 + 33x - 19) is equal to

If x= 2+5i (where i^2 =-1) and 2(1/(1!9!)+1/(3!7!))+1/(5!5!)=2^a/(b!) , then the value of (x^3 - 5x^2 + 33x - 19) is equal to