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Evalute the following integrals int (1...

Evalute the following integrals
`int (1)/(sqrt(1 + x - x^(2)) `dx

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The correct Answer is:
`sin^(-1) ((2x -1)/(sqrt(5)))` + c
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AAKASH SERIES-INDEFINITE INTEGRALS -EXERCISE - 1.4 ( LONG ANSWER QUESTIONS )
  1. Evalute the following integrals int (1)/(5 +4x - 2x^(2)) dx

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  2. Evalute the following integrals int (1)/(sqrt(x^(2) + 2 x + 10)) dx

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  3. Evalute the following integrals int (1)/(sqrt(1 + x - x^(2)) dx

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  4. Evalute the following integrals int (1)/(sqrt(5x - 6- x^(2))) dx

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  5. Evalute the following integrals int (1)/(sqrt(2x - 3x^(2) + 1)) dx

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  6. Evalute the following integrals int sqrt(3 + 8x - 3x^(3)) dx

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  7. Evalute the following integrals int sqrt(1 + 3x - x^(2)) dx

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  8. Evalute the following integrals int (2x + 3)/(x^(2) + x + 1) dx

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  9. Evalute the following integrals int (x + 1)/(x^(2) + 3x + 12) dx

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  10. Evalute the following integrals int (x + 4)/(6x - 7 - x^(2)) dx

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  11. Evalute the following integrals int (1)/(x^(3) + 1) dx

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  12. Evalute the following integrals int (x + 1)/(sqrt(x^(2) - x+ 1))dx

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  13. Evalute the following integrals int (2x - 3)/(sqrt(2x^(2) + 5x - 6 ...

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  14. Evalute the following integrals int sqrt((1 + x)/(1 - x)) dx on (-1...

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  15. Evalute the following integrals int (3x -2) sqrt(2x^(2) - x + 1 dx)

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  16. int (6x + 5) sqrt(6-2x^(2) +x)dx

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  17. Evalute the following integrals int (5 x - 3) sqrt(x^(2) - 6x + 13) ...

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  18. Evalute the following integrals int (1)/((x + 1) sqrt(2x^(2) + 3x + ...

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  19. Evalute the following integrals int (1)/(x sqrt(x^(2) + x + 1)) dx

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  20. Evalute the following integrals int (1)/((1 + sqrt(x)) sqrt(x - x^(2...

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