Home
Class 12
MATHS
int(sqrt(x^2+1))/(x^4)dx- (a)-1/3((x^...

`int(sqrt(x^2+1))/(x^4)dx-` (a)`-1/3((x^2+1)^(3/2))/(x^3)+C` (b) `x^3(x^2+1)^(-1/2)+C` (c)`(sqrt(x^2+1))/(x^2)+C` (d) `-1/3((x^2+1)^(3/2))/(x^2)+C`

Text Solution

AI Generated Solution

Promotional Banner

Similar Questions

Explore conceptually related problems

int sqrt (1 + x ^(2)). x dx = (1)/(3) (1 + x ^(2)) ^((3)/(2)) + c

int(sqrt(x))/((1+x^(2))^((7)/(4)))dx=(A)(2)/(3)(x^((3)/(2)))/((x^(2)+1)^((3)/(4)))+C(B)(1)/(3)(x^((3)/(2)))/((x^(2)+1)^((3)/(4)))+C(C)(1)/(2)(x^((1)/(2)))/((x^(2)+1)^((3)/(4)))+C(D)(x^((3)/(2)))/((x^(2)+1)^((3)/(4)))+C

intdx/((x-1)^(3/4)(x+2)^(5/4))= (A) 4/3((x-1)/(x+2))^(1/4)+c (B) 4/3sqrt((x-1)/(x+2))+c (C) 4/3((x+2)/(x-1))^(1/4)+c (D) none of these

int(dx)/(sqrt(x)+sqrt(x-2))= , (A) (1)/(3)[x^(3/2)-(x-2)^(3/2)]+c , (B) (2)/(3)[x^(3/2)-(x-2)^(3/2)]+c , (C) (1)/(3)[(x-2)^(3/2)-x^(3/2)]+c , (D) (2)/(3)[(x-2)^(3/2)-x^(3/2)]+c

IfI=int(dx)/(x^(3)sqrt(x^(2)-1)), then Iequals a.(1)/(2)((sqrt(x^(2)-1))/(x^(3))+tan^(-1)sqrt(x^(2)-1))+C b.(1)/(2)((sqrt(x^(2)-1))/(x^(2))+x tan^(-1)sqrt(x^(2)-1))+Cc(1)/(2)((sqrt(x^(2)-1))/(x^(2))+tan^(-1)sqrt(x^(2)-1))+Cd(1)/(2)((sqrt(x^(2)-1))/(x^(2))+tan^(-1)sqrt(x^(2)-1))+C

intdx/(sqrt(x)(1+x^2)^(5/4))= (A) (2x)/(1+x^2)^(1/4)+c (B) (2sqrt(x))/(1+x^2)^(1/4)+c (C) (2sqrt(x))/(1+x^2)+c (D) none of these

int(1)/(x(x^((3)/(2))+1))dx=(2)/(3)log((x^((3)/(2)))/(x^((3)/(2))+1))+c

int(x^(3)dx)/(sqrt(1+x^(2))) is equal to (A) (1)/(3)sqrt(1+x^(2))(2+x^(2))+C(B)(1)/(3)sqrt(1+x^(2))(x^(2)-1)+C(C)(1)/(3)(1+x^(2))^((3)/(2))+C(D)(1)/(3)sqrt(1+x^(2))(x^(2)-2)+C

int(x^(4)-1)/(x^(2))sqrt(x^(4)+x^(2)+1)dx equal to (A) sqrt((x^(4)+x^(2)+1)/(x)+c(B)sqrt(x^(4)+2-(1)/(x^(2)))+c)sqrt((x^(4)-x^(2)+1)/(x))+c

int(x+(1)/(x))^(3/2)((x^(2)-1)/(x^(2)))dx is equal to (A) (1)/(3)(x+(1)/(x))^(3)+C (B)(2)/(5)(x+(1)/(x))^(5/2)