`(d^(2))/(dx^(2))(x^(2)+3x+2)=`

(A) `2x+3`
(B) `2`
(C) `3`
(D) `2x`

(d)/(dx)(3x^(2)+2x)=

If int (dx)/(x-x^(3))=A log |(x^(2))/(1-x^(2))|+c then A= (A) 2 (B) 1/2 (C) 2/3 (D) 1/3

The number of positive integral solutions of,(x^(2)(3x-4)^(3)(x-2)^(4))/((x-5)^(2)*(2x-7)^(6))<=0 is 1 (b) 2 (c) 3 (d) 4

int (2x ^ (3) + 3x ^ (2) + 4x + 5) / (2x + 1) dx equls to: (A) (x ^ (3)) / (2) + (x ^ (2)) / (2) +3 (x) / (2) + (7) / (4) ln (2x + 1) + C (B) 5 (x ^ (3)) / (2) + 6 (x) / (2) + (7) / (4) ln (2x + 1) + C (C) 3 (x ^ (3)) / (2) + 3 (x ^ (2)) / (2) + (7 ) / (4) ln (2x + 1) + C (D) (x ^ (2)) / (2) + 3 (x) / (2) + (7) / (4) ln (2x + 1) + C

(d)/(dx){(3x-5)/(2x+3)}=

IF ax^3+bx^2+cx+d = |(x^2,(x-1)^2, (x-2)^2),((x-1)^2 (x-2)^2, (x-3)^2), (x-2)^2, (x-3)^2, (x-4)^2)| , then d= (A) 1 (B) -8 (C) 0 (D) none of these

If y^(3)-y=2x, then (x^(2)-(1)/(27))(d^(2)y)/(dx^(2))+x(dy)/(d)=y b.(y)/(3) c.(y)/(9) d.(y)/(27)

int(x^(4)+4)/(x^(2)-2x+2)dx(A)(x^(3))/(2)+x^(2)+2x+c(B)(x^(3))/(3)+x^(2)+2x+c(C)(x^(3))/(3)+(x^(2))/(2)+x+c(D)(x^(3))/(3)+x^(2)-2x+c

If y=(sin^(-1)x)^(2)+(cos^(-1)x)^(2), then (1-x^(2))(d^(2)y)/(dx^(2))-x(dy)/(dx) is equal to 4(b)3(c)1(d)0

[" The differential equation of the family of curves "],[y=c_(1)x^(3)+(c_(2))/(x)" where "c_(1)" and "c_(2)" are arbitrary "],[" constants,is "],[" O "x^(2)(d^(2)y)/(dx^(2))-x(dy)/(dx)-3y=0],[" (x) "(d^(2)y)/(dx^(2))+x(dy)/(dx)+3y=0],[" (x) "(d^(2)y)/(dx^(2))+x(dy)/(dx)-3y=0],[" (x) "(d^(2)y)/(dx^(2))-x(dy)/(dx)+3y=0]