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Evaluate the following : int(-pi//2)^...

Evaluate the following :
`int_(-pi//2)^(pi//2)log((2-sinx)/(2+sinx))dx`

A

1

B

3

C

2

D

0

Text Solution

Verified by Experts

The correct Answer is:
D
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TARGET PUBLICATION-DEFINITE INTEGRALS-COMPETITIVE THINKING
  1. The value of int- 2^2(xcosx+sinx+1)dx is

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. Let p(x) be a function defined on R such that underset(xrarr infty)(l...

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  19. A(x)=|(1,2,3),(x+1,2x+1,3x+1),(x^(2)+1,2x^(2)+1,3x^(2)+1)|impliesint(0...

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  20. The value of int 0^(sin^2x)sin^(-1)sqrt(t)dt+int 0^(cos^2x)cos^(-1)sqr...

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