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If n in N, then int(-n)^(n)(-1)^([x]) dx...

If `n in N`, then `int_(-n)^(n)(-1)^([x]) dx` equals

A

2n

B

n

C

`n^(2)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D
`:.underset(-n)overset(n)int(-1)^([x]) dx=0`
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OBJECTIVE RD SHARMA ENGLISH-DEFINITE INTEGRALS-Section I - Solved Mcqs
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  2. The value of int(-1)^(10) sgn (x-[x])dx is equal to (where, [.] denote...

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  3. If n in N, then int(-n)^(n)(-1)^([x]) dx equals

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  4. The value of :.int(0)^([x]) (2^(x))/(2^([x]))dx is

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  5. If f(x) is a function satisfying f((1)/(x))+x^(2)f(x)=0 for all non ...

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  6. If f(x)={(e^cosx sinx ,, |x| leq 2),(2 ,, other wise):}. Then int-2^...

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  7. The value of the integral int (e ^(-1))^(e ^(2))|(ln x )/(x)|dx is:

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  8. about to only mathematics

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  9. Let f: (0, infty) rarr R and F (x) = int(0) ^(x) f(t) dt . If F(x^(2)...

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  10. The integral int(-1/2)^(1/2) ([x]+1n((1+x)/(1-x)))dx is equal to (wher...

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  11. Let T >0 be a fixed real number. Suppose f is continuous function such...

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  12. Let f(x)=int1^xsqrt(2-t^2)dtdot Then the real roots of the equation x^...

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  13. If f((1)/(x)) +x^(2)f(x) =0, x gt0 and I= int(1//x)^(x) f(t)dt, (1)/(...

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  14. If | int(a)^(b) f(x)dx|= int(a)^(b)|f(x)|dx,a ltb,"then " f(x)=0 has

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  15. Let f(x) be an odd continous function which is periodic with period 2....

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  16. All the value of d for which int(1)^(2){a^(2)+(4-4a)x+4x^(3)} d xle1...

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  17. Let f(x) be a function defined by f(x)=int(1)^(x)t(t^(2)-3t+2)dt,1ltxl...

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  18. If int(0)^(x){t}dt=int(0)^({x})t dt ("where" x gt0 neZ and and {*} rep...

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  19. Let f(x)=max. {x+|x|,x-[x]} , where [x] denotes the greatest integer l...

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  20. rArrint(0)^(oo) [(2)/(e^(x))]dx (where [*] denotes the greatest intege...

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