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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-DEFINITE INTEGRALS-Section I - Solved Mcqs
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  9. Let f:(0, oo) in R and F(x) = int(0)^(x) f(t) dt. If F(x^(2))=x^(2)(1+...

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  10. The integral int( -1//2)^(1//2) {[x]+ in ((1+x)/(1-x))} dx equals

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

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  12. Let f(x)=int(1)^(x) sqrt(2-t^(2))dt. Then the real roots of the equati...

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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 continuous function which is periodic with period 2...

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  16. All the values of 'a' for which int(1)^(2) {a^(2)+(4-4a)x+4x^(3)}dxle1...

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  17. Let f (x) be a function defined by f(x)=int(0)^(x) t(t^(2)-3t+2)dt, 1 ...

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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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