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Evaluate int(0)^(1)x(1-x)^(n)dx...

Evaluate `int_(0)^(1)x(1-x)^(n)dx`

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The correct Answer is:
`1/((n+1)(n+2))`
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NCERT TAMIL-INTEGRALS-EXERCISE 7.11
  1. By using the properties of definite integrals, evaluate the integrals ...

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  2. By using the properties of definite integrals, evaluate the integrals ...

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  3. By using the properties of definite integrals, evaluate the integrals ...

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  4. By using the properties of definite integrals, evaluate the integrals ...

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  5. evaluate the integrals int(2)^(8)|x-5|dx

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  6. Evaluate int(0)^(1)x(1-x)^(n)dx

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  7. By using the properties of definite integrals, evaluate the integrals ...

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  8. By using the properties of definite integrals, evaluate the integrals ...

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  9. By using the properties of definite integrals, evaluate the integrals ...

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  10. By using the properties of definite integrals, evaluate the integrals ...

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  11. By using the properties of definite integrals, evaluate the integrals ...

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  12. By using the properties of definite integrals, evaluate the integrals ...

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  13. By using the properties of definite integrals, evaluate the integrals ...

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  14. By using the properties of definite integrals, evaluate the integrals ...

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  15. By using the properties of definite integrals, evaluate the integrals ...

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  16. By using the properties of definite integrals, evaluate the integrals ...

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  17. By using the properties of definite integrals, evaluate the integrals ...

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  18. By using the properties of definite integrals, evaluate the integrals ...

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  19. The value of int((-pi)/(2))^((pi)/(2))(x^(3)+xcosx+tan^(5)x+1)dx is

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  20. The value int(0)^((pi)/(2))log((4+3sinx)/(4+3cosx))dx is

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