Home
Class 12
MATHS
If int(0)^(1)(1)/(sqrt(x+1)-sqrt(x))dx=(...

If `int_(0)^(1)(1)/(sqrt(x+1)-sqrt(x))dx=(a(sqrt(2)))/(3)`, then a =

A

`sqrt(2)(2sqrt(2)-2)`

B

`sqrt(2)(2-2sqrt(2))`

C

`(2)/(3)(2sqrt(2)-2)`

D

4

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • INTEGRATION - DEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (PREVIOUS YEARS (MHT-CET EXAM QUESTIONS))|12 Videos

  • INTEGRATION - DEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|20 Videos

  • INTEGRATION - DEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|20 Videos

  • DIFFERENTIATION

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - II : CHAPTER 11)|24 Videos

  • INTEGRATION - INDEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|45 Videos

Similar Questions

Explore conceptually related problems

int_(0)^(1)(1)/(sqrt(1+x)-sqrt(x))dx

int_(0)^(1)(dx)/(sqrt(x+1)-sqrt(x))1dx

int_(0)^(1)(1)/(sqrt(x+3)+sqrt(x+2))dx=

int_(0)^(1)(dx)/(3sqrt(x))

int_(0)^(2)(1)/(sqrt(x))dx

int_(0)^(1) (dx)/(sqrt(1+x)sqrt(x))=

If int_(0)^(b)(1)/(sqrt(1+x)-sqrt(x))dx=(2)/(3)(2sqrt(2)) , then b =

int_(0)^(1)(1)/(sqrt(3x+2))dx

int(1)/(sqrt(x+2)-sqrt(x-3))dx

int(1)/(sqrt(x+3)-sqrt(x+2))dx