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

`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 GUJARATI-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. By using the properties of definite integrals, evaluate the integrals ...

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  6. 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. Show that int(0)^(a)f(x)g(x)dx=2int(0)^(a)f(x)dx, if f and g are defin...

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  19. Choose the correct answer The value of int((-pi)/2)^(pi/2)(x^(3)+xco...

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  20. Choose the correct answer The value of int(0)^(pi/2)log((4+3sinx)/(4...

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