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If int x e^(kx^(2)) dx = ( 1)/( 4) e^(2x...

If `int x e^(kx^(2)) dx = ( 1)/( 4) e^(2x^(2)) + C`, then the value of k is

A

4

B

`-2`

C

2

D

1

Text Solution

Verified by Experts

The correct Answer is:
C
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ICSE-INTEGRALS -MULTIPLE CHOICE QUESTIONS
  1. int ( x )/( 4+ x^(4)) dx is equal to

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  2. int(cos sqrt(x))/( sqrt(x)) dx is equal to

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  3. If int x e^(kx^(2)) dx = ( 1)/( 4) e^(2x^(2)) + C, then the value of ...

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  4. If int x^(6) sin ( 5x^(7)) dx = ( k )/( 5) cos ( 5x^(7))+C, then the v...

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  5. If int( 2^(x))/( sqrt( 1- 4^(x))) dx = k sin^(-1) ( 2^(x)) + C, then t...

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  6. If int|x| dx = kx |x| + C, x cancel(=) 0, then the value of k is

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  7. int cot x log ( sin x ) dx is equal to

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  8. int( x + sin x )/( 1+ cos x) dx is equal to

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  9. int((1-x)/(1+x^(2)))^(2) e^(x) dx is equal to

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  10. int( x-1)e^(-x) dx is equal to : a) ( x- 2)e^(x) + C b) x e^(-x) + ...

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  11. inte^(x) ( 1- cot x + cot^(2) x) dx is eqal to

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  12. If int ( 1+ cos 4x)/( cot x - tan x ) dx = k cos 4x + C, then the val...

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  13. int (dx)/( e^(x) + e^(-x) +2) is equal to

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  14. int( (log x)^(5) )/( x ) dx is equal to a) (log x^(6))/( 6) + C b) ( ...

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  15. int ( dx)/( sqrt( 2x - x^(2))) is equal to

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  16. int ( x^(2) + 1)/( x^(2) - 1)dx is equal to

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  17. int ( sin^(6) x + cos ^(6) x + 3 sin ^(2) x cos ^(2) x ) dx is equal t...

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  18. int( dx )/( x ( x^(7) +1)) is equal to

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  19. int ( sin^(4) x - cos ^(4) x ) dx is equal to

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  20. int ((tan^(-1) x )^(3))/( 1+x^(2)) dx is equal to a) 3 ( tan^(-1) x ...

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