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Suppose for every integer n, . underset(...

Suppose for every integer `n, . underset(n)overset(n+1)intf(x)dx = n^(2)`. The value of `underset(-2)overset(4)intf(x)dx` is :

A

16

B

14

C

19

D

21

Text Solution

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The correct Answer is:
C
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MOTION-DEFINITE INTEGRATION -EXERCISE -2 (LEVEL-I)
  1. int(5/2)^5 (sqrt((25-x^2)^3))/(x^4) dx

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  2. If {:(f(x)=x", ...."x lt 1),(" "=x-1", ...." x ge 1","):} ...

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  3. Suppose for every integer n, . underset(n)overset(n+1)intf(x)dx = n^(2...

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  4. int (0) ^(pi) (1 + 2 cos x ) dx equal to :

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  5. The value of int (-1) ^(3) (|x-2 |+[x]) dx is equal to (where [**] den...

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  6. If underset(-1)overset(3//2)int|xsinpix|dx = (k)/(pi^(2)), then the va...

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  7. int0^(10pi) |sin x| dx is

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  8. The value of int (-1) ^(3) | 1- x ^(2) | dx is -

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  9. rArrunderset(0)overset(oo)int[(2)/(e^(x))]dx (where [*] denotes the gr...

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  10. int0^sqrt2 [x^2]dx

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  11. If f (x) = int (0) ^(x) sin [2x] dx then f ( pi//2) is (where [**] de...

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  12. f(x)=Minimum{tanx,cotx}AA x in(0,pi/2) Then int0^(pi/3)f(x)dx is equal...

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  13. The value of int (1) ^(2) ([x ^(2) ]- [x] ^(2) dx is equal to (where [...

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  14. If f(x)={e^(cosxsinx ,for|x|lt=2)2,ot h e r w i s e ,t h e nint(-2)^3f...

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  15. The value of int0^(pi/3) [sqrt3 tanx]dx( where [.] denotes the greates...

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  16. T h ev a l u eofint(-2)^1[x[1+cos((pix)/2)]+1]dx , where [.] denotes ...

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  17. int (0)^(2) x ^(3) [1+ cos ""(pix)/(2)] dx is (where [**] denotes the ...

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  18. Let f(x)=minimum {|x|,1-|x|,1/4} for xepsilonR then the value of int-1...

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  19. If [x] dentoes the greatest integer less than or equal to x, then the ...

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  20. If f(n)=(int0^n[x]dx)/(int0^n{x}dx)(where,[*] and {*} denotes greatest...

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