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Statement-1: The value of the integral i...

Statement-1: The value of the integral `int_(pi//6)^(pi//3) (dx)/(1+ sqrt(tan x))` is equal to `(pi)/(6)`
Statement-2: `int_(a)^(b) f(x) dx= int_(a)^(b) f(a+b-x) dx`

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Knowledge Check

  • The value of the integral int_(pi//6)^(pi//3) (1)/(1+sqrt(tan x))dx is

    A
    `(pi)/(3)`
    B
    `(pi)/(6)`
    C
    `(pi)/(12)`
    D
    0

  • Statement-1: The value of the integral int_(pi//6)^(pi//3) (1)/(sqrt(tan)x)dx is equal to (pi)/(6) Statement-2: int_(a)^(b) f(x)dx=int_(a)^(b) f(a+b-x)dx

    A
    Statement-1 is true, Statement-2 is True,Statement-2 is a correct explanation for Statement-1.
    B
    Statement-1 is True, Statement-2 is not a correct explanation for Statement-1.
    C
    Statement-1 is True, Statement-2 is False.
    D
    Statement-1 is False, Statement-2 is True.

  • Statement I: The value of the integral int_(pi//6)^(pi//3) (dx)/(1+sqrt(tanx)) is equal to (pi)/6 . Statement II: int_(a)^(b)f(x)dx=int_(a)^(b)f(a+b-x)dx

    A
    Statement I is true, statement II is true, statement II is a correct explanation for statement I
    B
    Statement I is true, statement II is true, statement II is a not a correct explanation for statement I
    C
    Statement I is true, statement II is false
    D
    Statement I is false, statement II is true

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