Home
Class 12
MATHS
Evaluate: int(alpha)^(beta)(dx)/(sqrt((x...

Evaluate: `int_(alpha)^(beta)(dx)/(sqrt((x-alpha)(beta-x)))dx`

Text Solution

Verified by Experts

The correct Answer is:
`pi`
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRAL

    CHHAYA PUBLICATION|Exercise MCQ EXERCISE 9A|15 Videos

  • DEFINITE INTEGRAL

    CHHAYA PUBLICATION|Exercise VERY SHORT QUESTIONS|24 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

int (dx)/(sqrt((x-alpha)(x-beta)))

Putting x=alphacos^(2)theta+betasin^(2)theta show that, int_(alpha)^(beta)sqrt((x-alpha)(beta-x))dx=((beta-alpha)^(2)pi)/(8)

Evaluate, int_(R)^alpha (GMm)/(x^2)dx

Integrate : int (dx)/(sqrt((x-alpha)(beta-x)))[ alpha lt x lt beta]

Evaluate: int (dx)/(sqrt (sin^3 xsin(x+alpha)

Evaluate the following intergrals : int sqrt((x-alpha)(beta-x))dx(alpha lt x lt beta)

Evaluate : int (secx dx)/(sqrt(sin (2x+alpha) + sin alpha)

If 3 sinalpha=5sin beta , then find the value of ("tan"(alpha+beta)/2)/("tan"(alpha-beta)/2)

int(dx)/(sqrt(sin^(3)x sin (x+alpha)))

int (dx)/(sqrt(sin^(3)x cos (x-alpha))