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

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

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The correct Answer is:
`- (6x + x - 2x^(2))^(3//2)+ (13)/(16) (4x - 1) sqrt(6 + x - 2x^(2)) + (637)/(32 sqrt(2)) sin^(-1) ((4x - 1)/(7) ) + c `
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AAKASH SERIES-INDEFINITE INTEGRALS -EXERCISE - 1.4 ( LONG ANSWER QUESTIONS )
  1. Evalute the following integrals int (x + 1)/(sqrt(x^(2) - x+ 1))dx

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

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

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

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

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

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

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

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

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

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

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

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

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

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  15. int (2x+3)/(sqrt(4x+3))dx=

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  16. Evalute the following integrals int (1)/((x + 5) sqrt(x + 4)) dx

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

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  18. Evalute the following integrals int (1)/((x + 2) sqrt(x + 1)) " dx o...

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

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  20. int (1)/((x^(2)+9)sqrt(x^(2)-9))dx=

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