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Find the value of : int0^(10)e^(2x-[2x])...

Find the value of : `int_0^(10)e^(2x-[2x])d(x-[x])w h e r e[dot]` denotes the greatest integer function).

A

`e +1`

B

e

C

`2e -2`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
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MOTION-DEFINITE INTEGRATION -EXERCISE -2 (LEVEL-I)
  1. For 0 lt x lt pi/2, int (1//sqrt2) ^(1//2) cot x s (cos x ) equal to

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

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  3. Find the value of : int0^(10)e^(2x-[2x])d(x-[x])w h e r e[dot] denote...

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  4. int (log pi - log 2 ) ^(log pi) (e ^(x))/(1- cos ((2)/(3)e ^(x)))dx i...

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  5. If underset(0)overset(oo)int e^(-x^(2))dx=sqrt((pi)/(2))"then"underset...

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

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  7. Let (d)/(dx) F(x)=(e^(sin x))/(x), x gt 0, If int(1)^(4) (3)/(x) ...

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  8. 1/c int (a) ^(b) f ((x)/(c )) dx =

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  9. int(5/2)^5 (sqrt((25-x^2)^3))/(x^4) dx

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

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

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

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

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

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

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

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

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  18. int0^sqrt2 [x^2]dx

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

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

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