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Prove that int(-1)^(1)log((2-x)/(2+x))dx...

Prove that `int_(-1)^(1)log((2-x)/(2+x))dx=0`

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ARIHANT PRAKASHAN-VERY SIMILAR TEST 7-Section B (60 MARKS)
  1. Find the differential equation by eleminating the orbitary constants i...

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  2. Evaluate the following integrals : int(e^(6logx)-e^(5logx))/(e^(4log...

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  3. Prove that int(-1)^(1)log((2-x)/(2+x))dx=0

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  4. Find the area enclosed bt the two paraboles y^2=4 ax and x^2=4ay.

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  5. By computing shortest distance, determine whether the following pair o...

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  6. Find the equation of the plane Paralel to the plane 2x-y+3z+1=0 and at...

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  7. If vec(a), vec(b) and vec(c) are three mutually perpendicular vectors...

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  8. If vec(a),vec(b)" and "vec(c) are three vectors, such that vec(a)+vec(...

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  9. If hat(a), hat(b), hat(c) are unit vectors and hat(a) xx (hat(b) xx ha...

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  10. Evaluate "tan"("sin"^(-1)3/(5)+"cot"^(-1)3/(2)).

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  11. One kind of cake requires 200 g of flour and 25 g of fat and another k...

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  12. Let * be a binary operation on Q defined by a**b=ab+1. Determine wheth...

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  13. Let A = R-{2} and B = R - {1}. If f : A rarr B is a function defined b...

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  14. Prove that following cot^(-1)((xy+1)/(x-y)) +cot^(-1)((yz+1)/(y-z))+...

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  15. There are 25 tickets bearing numbers from 1 to 25. One ticket is drawn...

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  16. IF A=[(1,tanx),(-tanx,1):}] then show that A^TA^-1=[(cos2x,-sin2x),(s...

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  17. Show that the following systems of linear equations is consistent and ...

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  18. If A+B+C = pi, prove that [[sin^2A,cotA,1],[sin^2B,cotB,1],[sin^2C,c...

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  19. Find the probability distribution of number of doublets in four throws...

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  20. Find the equasion of the tangents drawn from the point (1,2) to the cu...

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