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int (0) ^(2npi) (|sin x | - [|(sin x )/(...

`int _(0) ^(2npi) (|sin x | - [|(sin x )/(2) | ])` dx is equal to (where `[**]` denotes the greatest integer function)

A

0

B

`2n`

C

`2npi`

D

`4n`

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The correct Answer is:
D
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MOTION-DEFINITE INTEGRATION -EXERCISE -2 (LEVEL-I)
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  2. If f(n)=(int0^n[x]dx)/(int0^n{x}dx)(where,[*] and {*} denotes greatest...

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  7. If int(0)^(pi) x f (sin x) dx = A int (0)^(pi//2) f(sin x) dx , then A...

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  8. If f(x)=(e^(2))/(1+e^(x)),I(1)=overset(f(a))underset(f(-a))int xg{x(1-...

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  12. int (-1) ^(1) (x ^(4))/( 1 + e ^(x ^(7)))dx is

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  13. int (-1) ^(1) (sin x + x ^(2))/( 3 - |x|) dx

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  14. The value of overset(pi//4)underset(-pi//4)int(e^(x)sec^(2)x)/(e^(2x)-...

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  15. int ( -pi) ^(pi) (2x ( 1+ sin x ))/(1+ cos ^(2) x )

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  16. int (0) ^(pi) (cos ^(2) x ) dx,

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  17. If int0^11 (11^x)/(11^([x])) dx=k/(log 11) then value of k is (where [...

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  18. Let Tgt0 be a fixed real number. Suppose f is a cintinuous function s...

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  19. Let f: RvecR be a differentiable function having f(2)=6,f^(prime)(2)=1...

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  20. The value of lim(xto0) (int(0)^(x^2)sec^2t dt)/(x sin x) dx , is

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