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Evaluate: int0^(100pi)sqrt((1-cos2x))dxd...

Evaluate: `int_0^(100pi)sqrt((1-cos2x))dxdot`

A

`I=0`

B

`I=200sqrt(2)`

C

`I=pisqrt(2)`

D

`I=100`

Text Solution

Verified by Experts

The correct Answer is:
B
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TARGET PUBLICATION-DEFINITE INTEGRALS-COMPETITIVE THINKING
  1. int0^pi x f(sin x)dx is equal to

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  2. If I(1)=int(0)^(pi//2)f(sin2x)sin x dx and I(2)=int(0)^(pi//4)f(cos2x)...

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  3. Evaluate: int0^(100pi)sqrt((1-cos2x))dxdot

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  4. int(-1)^(1) sin^(3) x cos^(2) x dx is equal to

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  5. The value of int((pi)/4)/((-pi)/4)sin^(103)x .cos^(101)xdx is

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  6. The value of int- 2^2(xcosx+sinx+1)dx is

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  7. int(4)^(4)log((9-x)/(9+x))dx equals

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  8. Evaluate the following : int(-pi//2)^(pi//2)log((2-sinx)/(2+sinx))d...

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  9. To find the numberical value of overset(2)underset(-2)int (px^(3)+qx+8...

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  10. If f(x)={(e^(cosx)sinx, |x|le2),(2, otherwise):} then int-2^3f(x)dx= (...

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  11. int(-2)^0{x^3+3x^2+3x+3+(x+1)cos(x+1)dxi se q u a lto -4 (b) 0 (c...

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  12. If f(x) is defined on [-2, 2] by f(x) = 4x^2 – 3x + 1 and g(x) = (f(-x...

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  13. int-2^2 |x| dx is equal to

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  14. int(-2)^(2)|xcos pix|dx is equal to

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  15. int(0)^(1) x tan^(-1) x " "dx =

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  16. int(-pi//2)^(pi//2)(sin^(4)x)/(sin^(4)x + cos^(4)x)dx=

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  17. The value of int(-pi//2)^(pi//2)(sin^(2)x)/(1+2^(x)) dx is

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  18. Evaluate: int(-1)^1(sinx-x^2)/(3-|x|)dx

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  19. The value of integral overset(pi)underset(-pi)int (cos ax-sin b x)^(2)...

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  20. int(-(3pi)/2)^(-pi/2) {(pi+x)^3+cos^2(x+3pi)}dx is equal to (A) pi/4-1...

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