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Evalute the following integrals int sq...

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

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Verified by Experts

The correct Answer is:
`(2x - 3)/(4) sqrt(1 + 3x - x^(2)) + (13)/(8) sin^(-1) ((2x - 3)/(sqrt(13)))` + c
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AAKASH SERIES-INDEFINITE INTEGRALS -EXERCISE - 1.4 ( LONG ANSWER QUESTIONS )
  1. Evalute the following integrals int (1)/(sqrt(2x - 3x^(2) + 1)) dx

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. Evaluate the integerals. int (dx)/((1-x) sqrt(3-2x-x^(2)))on (-1,...

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

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

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

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