Home
Class 12
MATHS
Evaluate: int(dx)/(sqrt((x-1)(2-x))) by ...

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)))`

Text Solution

Verified by Experts

The correct Answer is:
`2sin^(-1)sqrt(x-1)+candpi`
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRAL

    CHHAYA PUBLICATION|Exercise EXERCISE 9B ( MULTIPLE CHOICE TYPE QUESTIONS )|6 Videos

  • DEFINITE INTEGRAL

    CHHAYA PUBLICATION|Exercise EXERCISE 9B (VERY SHORT ANSWER TYPE QUESTIONS)|20 Videos

  • DEFINITE INTEGRAL

    CHHAYA PUBLICATION|Exercise SHORT ANSWER TYPE QUESTIONS|61 Videos

  • COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise JEE Advanced Archive (2016)|3 Videos

  • DEFINITE INTEGRAL AS AN AREA

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos

Similar Questions

Explore conceptually related problems

Evaluate: int (dx)/sqrt((x-1)(x-2))

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

Evaluate: int(dx)/(x^3sqrt(x^2-1))

Evaluate: int (x dx)/sqrt(3x^2+1)

Evaluate : int (x dx)/(sqrt(3x^(2)+1))

Evaluate: int(x^3)/(sqrt(x^2+1))dx

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

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

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

Evaluate: int1/(sqrt((x-2)(x-3)))dx