" 6."(1-x^(2))^(-1/2)

Prove that, underset(x to 0) lim ((1+6x^(2))/(1+2x^(2)))^(1/x^(2))=e^(4)

If "int(x^(2)+2x^(4)+3x^(6))(1+x^(2)+x^(4))^(1/2)dx=k(Ax^(2)+Bx^(4)+cx^(6))^(p)+l then

Evaluate : lim_(x to 0 ) ((1+6x^(2))/(1+4x^(2)))^(1/(x^(2)))

If int(x^(2)+2x^(4)+3x^(6))(1+x^(2)+x^(4))^(1/2)dx=k(Ax^(2)+Bx^(4)+Cx^(6 ))^(p)+I then the value of A, B, k and P is.

int(x^(3)-x)/(1+x^(6))dx is equal to a) 1/6"log"(x^(4)-x^(2)+1)/((1+x^(2))^(2))+C b) 1/6"tan"^(-1)((x^(2)+1)^(2))/(2)+C c) "log"(x^(4)-x^(2)+1)/((1+x^(2))^(2))+C d) "tan"^(-1)(x^(2)+1)^(2)/(2)+C

Add: (3x^(2) - (1)/(5)x + (7)/(3)) + ((-1)/(4)x^(2) + (1)/(3)x - (1)/(6)) + (-2x^(2) - (1)/(2)x + 5)

(d)/(dx ) { (1)/( 6) log ""((x-1)^(2))/(x ^(2) + x +1 ) + (1)/( sqrt3)Tan ^(-1) ((2x +1)/( sqrt3))}=

The equation (x+3-4(x-1)^(1//2))^(1//2)+(x+8-6(x-1)^(1//2))^(1//2)=1 has (A) no solution (B) only 1 solution (C) only 2 solutions (D) more than 2 solutions

The equation (x+3-4(x-1)^(1//2))^(1//2)+(x+8-6(x-1)^(1//2))^(1//2)=1 has (A) no solution (B) only 1 solution (C) only 2 solutions (D) more than 2 solutions