`((1)/(2))^(-5)` is equal to

If the reflection of the ellipse ((x-4)^(2))/(16)+((y-3)^(2))/(9) =1 in the mirror line x -y -2 = 0 is k_(1)x^(2)+k_(2)y^(2)-160x -36y +292 = 0 , then (k_(1)+k_(2))/(5) is equal to

1. int x^((5)/(2))dx is equal to ;

The sum sum_(n=1)^(10) ( n(2n-1)(2n+1))/( 5) is equal to ___.

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

If 2^(-m)x(1)/(2^(m))=(1)/(4), then (1)/(14){(4^(m))^(1/2)+((1)/(5^(m)))^(-1)} is equal to (1)/(2) (b) 2( c) 4(d)-(1)/(4)

The integral int(1)/(4sqrt((x-1)^(3)(x+2)^(5)) dx is equal to (where c is a constant of integration)

(2^(-1)+3^(-1)+5^(-1))^(0) is equal to (a) 2 (b) 3 (c) 5 (d) 1