Home
Class 12
MATHS
If int sqrt(x+sqrt(x^(2)+2))dx equals k(...

If `int sqrt(x+sqrt(x^(2)+2))dx` equals `k(x+sqrt(x^(2)+2))^(p//2)-(2)/((x+sqrt(x^(2)+2))^((q)/(2)))+c`, then value of k, p, q are respectively are

A

`(4)/(3), (3)/(2),1`

B

`(1)/(3), 3, 1`

C

`-2, (1)/(3), 1`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INDEFINITE INTEGRALS

    MTG-WBJEE|Exercise WB JEE WORKOUT (CATEGORY 3 : ONE OR MORE THAN ONE OPTION CORRECT TYPE)|16 Videos
  • INDEFINITE INTEGRALS

    MTG-WBJEE|Exercise WE JEE PREVIOUS YEARS QUESTIONS (CATEGORY 1 : SINGLE OPTION CORRECT TYPE)|10 Videos
  • INDEFINITE INTEGRALS

    MTG-WBJEE|Exercise WE JEE PREVIOUS YEARS QUESTIONS (CATEGORY 2 : SINGLE OPTION CORRECT TYPE)|1 Videos
  • DIFFERENTIAL EQUATIONS

    MTG-WBJEE|Exercise WB JEE Previous Years Questions|19 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    MTG-WBJEE|Exercise WB JEE Previous Years Questions ( CATEGORY 1 : Single Option Correct Type (1 Mark))|6 Videos

Similar Questions

Explore conceptually related problems

int(sqrt(x))/(sqrt(x)+2)dx

int sqrt(x+sqrt(x^(2)+2))dx=A{x+sqrt(x^(2)+2)}^(3/2)+(B)/(sqrt(x+sqrt(x^(2)+2)))+C

int(dx)/(sqrt(x-x^(2))) equal is :

If sqrt(x+sqrt(x^(2)+x))dx=A{x+sqrt(x^(2)+2)}^(3//2)+(B)/(sqrt(x+sqrt(x^(2)+2)))+c. then the value of 3AB is

int x sqrt(x+2)dx is equal to

int(dx)/(sqrt(x-x^(2))) is equal to

int(dx)/(sqrt(x)(2+sqrt(x)))

lim_(x rarr0)(sqrt(x^(2)+q^(2))-q)/(sqrt(x^(2)+p^(2))-p)

int(dx)/((1+sqrt(x))*sqrt(x-x^(2))) is equal to

lim_(x rarr0)(sqrt(4^(2)+p^(2))-p)/(sqrt(x^(2)-q^(2)-q))