Home
Class 12
MATHS
If n(ne0) is a positive integer then the...

If `n(ne0)` is a positive integer then the value of `int_(0)^(pi)cosnxdx` is-

A

`pi`

B

`-pi`

C

1

D

1

Text Solution

Verified by Experts

The correct Answer is:
D
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • DEFINITE INTEGRAL

    CHHAYA PUBLICATION|Exercise VERY SHORT QUESTIONS|24 Videos

  • DEFINITE INTEGRAL

    CHHAYA PUBLICATION|Exercise SHORT ANSWER TYPE QUESTIONS|61 Videos

  • DEFINITE INTEGRAL

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTIONS FOR COMPETITIVE EXAMINATION ( ASSERTION-REASON TYPE )|2 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

The value of int_(0)^(pi)|cosx|dx is

The value of int_(0)^(pi)abscosx^3dx is

Knowledge Check

  • If n(ne0) is an integer, then the value of int_(0)^(pi)sin^(2)nxdx is-

    A
    `pi`
    B
    `(pi)/(2)`
    C
    0
    D
    `(1)/(2)`

  • The value of int_(0)^((pi)/(2))sin^(2)xdx is-

    A
    `pi`
    B
    `(pi)/(2)`
    C
    `(pi)/(4)`
    D
    `(3pi)/(4)`

  • The value of int_(0)^(pi)sinthetad theta is-

    A
    0
    B
    1
    C
    2
    D
    `-2`

    • Similar Questions

    Explore conceptually related problems

    int_(0)^(pi)xcosxdx=-2

    Find the value of int_0^(pi/2)sin2xdx

    int_(0)^(pi)cos^(5)xdx=0

    The value of int_(0)^(pi) (dx)/(5+3 cosx) is -

    The value of int_(0)^(pi)log sin^(2)x dx is equal to -

    Home
    Profile