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If f(x)={0 ,where x=n/(n+1), n =1, 2,...

If `f(x)={0 ` ,where `x=n/(n+1), n =1, 2, 3....` and 1 , else where , then the value of `int_0^2 f(x) dx`.

A

1

B

0

C

2

D

`oo`

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The correct Answer is:
C
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MOTION-DEFINITE INTEGRATION -EXERCISE -2 (LEVEL-I)
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  10. Let f(x) be a function satisfyingf'(x)=f(x) withf(0) =1 and g(x) be a ...

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  11. int(0) ^(pi//2) ((sin x +cos x )^(2))/sqrt(1+ sin 2x)dx =

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  12. int (0) ^(pi//4) sin (x- [x])d (x-[x]) is equal to

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  13. For 0 lt x lt pi/2, int (1//sqrt2) ^(1//2) cot x s (cos x ) equal to

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  14. The value of int (pi//4) ^(pi//3) cosec x d (sin x ) for 0 lt x lt pi...

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  18. Let A = underset(0)overset(1)int(e^(t))/(1+t) dt, then underset(a-1)ov...

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