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Evalute the following integrals int (x...

Evalute the following integrals
`int (x - 1)/((x - 2)(x - 3))` dx

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The correct Answer is:
2 log |x-3| - log |x - 2| + c
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AAKASH SERIES-INDEFINITE INTEGRALS -EXERCISE - 1.3(SHORT ANSWER QUESTIONS )
  1. Evalute the following integrals int (x - 1)/((x - 2)(x - 3)) dx

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

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

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  4. Evalute the following integrals int (2x + 3)/(x^(3) + x^(2) - 2x) d...

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

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  6. Evaluate the integerals. int (dx)/(x(x+1) (x+2))

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

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  8. Evalute the following integrals int (1)/((x -a)(x -b)(x-c))dx

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  9. int (1)/((x^(2)+a^(2))(x^(2)+b^(2)))dx=

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  10. Evaluate the integerals. int (x^(2))/((x+1) (x+2)^(2))dx

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  11. Evalute the following integrals int (7x -4)/((x -1)^(2)(x+2)) dx

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

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

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

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

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

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  17. Find int (2x^(2) -5x +1)/(x^(2)(x^(2) -1))dx.

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  18. Find int (3x-5)/(x (x^(2)+2x+4))dx.

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  19. Evaluate the following integral int (2x + 1)/(x(x^(2) + 4)^(2)) dx

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  20. Evaluate the integerals. int (dx )/(e ^(x) +e^(2x))

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