Home
Class 12
MATHS
int(1)^(2)sqrt((x-1)(2-x))dx=...

`int_(1)^(2)sqrt((x-1)(2-x))dx=`

A

`(pi)/(2)`

B

`(pi)/(4)`

C

`(pi)/(8)`

D

`(pi)/(12)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • INTEGRATION - DEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (PART - B : Mastering The BEST)|209 Videos
  • INTEGRATION - DEFINITE INTEGRALS

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (PREVIOUS YEARS (MHT-CET EXAM QUESTIONS))|12 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_(1)^(2)sqrt(1+x)dx

Evaluate the following definite integrals (1-28):int_(1)^(2)(1)/(sqrt((x-1)(2-x)))dx

Evaluate :int(dx)/(sqrt((x-1)(2-x))) by the substitution x=1+sin^(2)theta .Hence,find the value of int_(1)^(2)(dx)/(sqrt((x-1)(2-x)))

int(1)/(x^(2)sqrt(1+x^(2)))dx

int_(0)^(1)x^(2)sqrt(1-x^(2))dx=

The value of int(1)/((2x-1)sqrt(x^(2)-x))dx is equal to (where c is the constant of integration)

Evaluate: int(1)/(x^(2)sqrt(1+x^(2)))dx

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

int(2x-1)/(sqrt(x^(2)-x-1))dx

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