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int dx/(x-x^(3)) = A (log) x^(2)/(1-x^(2...

`int dx/(x-x^(3)) = A (log) x^(2)/(1-x^(2))`, then A =

A

2

B

(1/2)

C

(2/3)

D

(1/3)

Text Solution

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The correct Answer is:
B
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HIMALAYA PUBLICATION-INDEFINITE INTEGRAL-QUESTION BANK
  1. int 2/(1-x^(4)) dx = k log ((1+x)/(1-x)) + tan^(-1)x then k =

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  2. int dx/((x^(2)+1)(x^(2)+4))= k tan^(-1) x + l (tan^(-1)) x/2 then

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  3. int dx/(x-x^(3)) = A (log) x^(2)/(1-x^(2)), then A =

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  4. int (sin 2x +cos 2x) dx = 1/sqrt2 sin (2x-a) then a =

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  5. If I(1) = int sin^(-1) x dx and I(2) = int sin^(-1) sqrt(1-x^(2))dx th...

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  6. int d^(2)/(dx^(2))(tan^(-1) x) dx =

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  7. If f(x) = int (x^(2)+sin^(2)x)/(1+x^(2)) sec^(2)x dx and f(0) = 0, the...

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  8. In n (ne 1) in N and I(n) = intcosec^(n) dx then (n-1)((n)+cosec^(n-2)...

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  9. If n(ne 1) in N and I(n) =int sec^(n)x dx then (n-1) I(n)-(n-2)I(n-2) ...

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  10. If n in N and I(n) = intsin^(n) x dx then nI(n)-(n-1)I(n-2) =

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  11. If n in N and I(n) = intcos^(n) xdx then nI(n) - cos^(n-1)x. sinx =

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  12. If n(ne 1) in N and I(n) = int tan^(n) x dx then I(n)+I(n-2) =

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  13. If n(ne 1) in N and I(n) = intcot^(n) x dx then I(n) + (cot^(n-1)x)/(n...

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  14. If n(ne 1) in N and I(n) = int e^(x)/x^(n) dx then I(n)+ e^(x)/((n-1)x...

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  15. If n in N and I(n) = int(log x)^(n) dx, then I(n)+nI(n-1) =

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  16. If I(n) = int x^(n)e^(x) dx where n inN, then I(n) + nI(n-1) =

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  17. int (tan^(m)x)/(sinx cosx)dx =

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  18. int dx/(sqrt(2x^(2)+7x+3)) =

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  19. int dx/(sqrt(2x^(2)+3x+4)) =

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  20. int dx/(sqrt(2x^(2)+3x+4)) =

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