`y=intlogxdx`

Find intlogxdx

Evaluate intlogxdx

Evaluate following integrals, (i) intlogxdx (ii) inte^(x)cosxdx

If y=sinp x and y_n is the n t h derivative of y , then |[y, y_1,y_2],[y_3,y_4,y_5],[y_6,y_7,y_8]|i s (a)1 (b) 0 (c) -1 (d) none of these

If y= sin px and y_(n) is the nth derivative of y, then |{:(y,y_(1),y_(2)),(y_(3),y_(4),y_(5)),(y_(6),y_(7),y_(8)):}| is

Find the product (y+1/y)(y-1/y)(y^2+I/y^2)

if y= sin mx, them the value of the determinant |{:(y,,y_(1),,y_(2)),(y_(3),,y_(4),,y_(5)),(y_(6),,y_(7),,y_(8)):}|" Where " y_(n)=(d^(n)y)/(dx^(n)) " is "

The quotient of x\ b y\ y added to the product of x\ a n d\ y is written as (a) x/y+x y (b) y/x+\ x y (c) (x y+x)/y (d) (x y+y)/x

Using properties of determinants, prove the following |[x,x+y,x+2y],[x+2y,x,x+y],[x+y,x+2y,x]|=9y^2(x+y)

If x + y = 1, and x - y = 1 , then y = ?