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Evalute the following integrals int (1...

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

Text Solution

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The correct Answer is:
log `(e^(x) + 1)+ c `
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AAKASH SERIES-INDEFINITE INTEGRALS -MISCELLANEOUS QUESTIONS
  1. Evalute the following integrals int ("cosec"^(2)x)/((1 + cot x)^(2))...

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  2. Evalute the following integrals int (e^(2x) - e^(-2x))/(e^(2x) + e^(...

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

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  4. Evalute the following integrals int (dx)/(sqrt(x^(2) - 36))

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  5. Evalute the following integrals int (dx)/(x^(2) + 81)

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  6. Evalute the following integrals int (dx)/(x^(2) - 64)

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

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

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

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  10. int (1)/(9x^(2)+16)dx=

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

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  12. Evalute the following integrals int (x^(2))/(x^(2) - 4) dx

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  13. Evalute the following integrals int (dx)/(sqrt(36 - x^(2)))

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

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

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  16. Evalute the following integrals int sqrt(49 - x^(2)) dx

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  17. Evalute the following integrals int sqrt(x^(2) - 49) dx

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  18. Evalute the following integrals int sqrt(49 + x^(2)) dx

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  19. Evalute the following integrals int sqrt(x^(2) + 4) dx

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  20. Evalute the following integrals int sqrt(16 + x^(2))dx

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