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If f(x)=(e^(2))/(1+e^(x)),I(1)=overset(f...

If f(x)`=(e^(2))/(1+e^(x)),I_(1)=overset(f(a))underset(f(-a))int xg{x(1-x)}dx` and `I_(2)=overset(f(a))underset(f(-a))int g{x(1-x)}dx`, where g is not identify function. Then the value of `I_(2)//I_(1)`, is

A

1

B

-3

C

-1

D

2

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The correct Answer is:
D
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TARGET PUBLICATION-DEFINITE INTEGRALS-COMPETITIVE THINKING
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  3. If f(x)=(e^(2))/(1+e^(x)),I(1)=overset(f(a))underset(f(-a))int xg{x(1-...

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

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

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

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

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

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

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

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