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The value of int((pi)/4)/((-pi)/4)sin^(1...

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

A

`((pi)/4)^(101)`

B

`0`

C

`((pi)/4)^(103)`

D

2

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Verified by Experts

The correct Answer is:
B
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TARGET PUBLICATION-DEFINITE INTEGRALS-COMPETITIVE THINKING
  1. Evaluate: int0^(100pi)sqrt((1-cos2x))dxdot

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. The value of the integral int(-pi//2)^(pi//2) (x^(2) + log" (pi-x)/(pi...

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  20. Evaluate: int(pi//4)^(pi//4)(x+pi//4)/(2-cos2x)dx

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