Home
Class 12
MATHS
A:int(0)^(100pi)sqrt(1-cos2x)dx=200sqrt2...

`A:int_(0)^(100pi)sqrt(1-cos2x)dx=200sqrt2`.
If f(x) is a periodic function with period a then `int_(0)^(na)f(x)dx=nint_(0)^(a)f(x)dx`

A

Both A and R are true R is the correct explanatino of A

B

Both A and R are true but R is not correct explanation of A

C

A is true but R is false

D

A is false but R is true

Text Solution

Verified by Experts

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • DEFINITE INTEGRATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUSTIONS) CHOOSE THE CORRECT ANSWER FROM THE ALTERNATIVES 1,2,3 OR 4 GIVEN (SET-3)|1 Videos

  • DE MOIVRE'S THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-4|3 Videos

  • DIFFERENTIAL EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 2|15 Videos

Similar Questions

Explore conceptually related problems

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

Evaluate int_(0)^(100pi) sqrt(1-cos 2 x) dx

Knowledge Check

  • int_(0)^(2pi) sqrt(1-cos 2x)/(2)dx=

    A
    4
    B
    2
    C
    8
    D
    6

  • int_(0)^(pi) sqrt((1+cos 2x)/(2))dx=

    A
    1
    B
    2
    C
    `sqrt(2)`
    D
    0

  • int_(0)^(pi) (x)/(1+cos^(2)x)dx=

    A
    `(1)/(2sqrt(2))`
    B
    `(pi^(2))/(2)`
    C
    `(pi^(2))/(sqrt(2))`
    D
    `(pi^(2))/(2sqrt(2))`

    • Similar Questions

    Explore conceptually related problems

    int_(0)^(a)sqrt((a+x)/(a-x))dx=

    Evaluate int_(0)^(100pi)sqrt(1+ cos 2 x dx)

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

    int_(0)^(a) (f(x)+f(-x))dx=

    int_(0)^(10) (5-sqrt(10x-x^(2))) dx=

    Home
    Profile