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If [x] stands for the greatest integer function, the value of `overset(10)underset(4)int([x^(2)])/([x^(2)-28x+196]+[x^(2)])dx`, is

A

0

B

1

C

3

D

None of these

Text Solution

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The correct Answer is:
C
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MOTION-DEFINITE INTEGRATION -EXERCISE -2 (LEVEL-I)
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  6. Let I (1) = int (0) ^(1) (e ^(x) dx )/( 1 + x) and I (2) = int (0) ^(1...

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  7. If f(x) is a function satisfying f(1/x)+x^2f(x)=0 for all nonzero x , ...

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  8. If underset(0)overset(100)intf(x) dx = a, then underset(r=1)overset(10...

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  11. If [x] stands for the greatest integer function, the value of overset(...

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  14. If f(x) is differentiable and int0^(t^2)xf(x)dx=2/5t^5, then f(4/(25))...

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  15. If y(x)=\ int(pi^2//16)^(x^2)(cos xdotcossqrt(theta))/(1+sin^2sqrt(the...

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  17. The value of underset( n rarroo)(lim) underset(r=1)overset(r=4n)(sum)(...

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  18. lim(n->oo) (1^p+2^p+3^p+...........+n^p)/n^(p+1)

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  19. Evaluate : lim(n-> oo) (1^4+2^4+3^4+...+n^4)/n^5 - lim(n->oo) (1^3+2^3...

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