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Evalute the following integrals int (1...

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

Text Solution

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

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

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

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

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

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

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

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

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

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  10. Evaluate the following integral int (1 + x^(2))/(sqrt(1 - x^(2))) d...

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  11. int (1-x^(4))/(1-x)dx=

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  12. int (x^(4))/(x^(2)+1)dx

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

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  14. Evalute the following integrals int (1)/(x + x" log x " ) dx

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

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

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

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  18. Evalute the following integrals int sin x sin (cos x ) dx

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  19. Evalute the following integrals int (cos sqrt(x))/(sqrt(x)) dx

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  20. Evalute the following integrals int x^(2) " sin "x^(3) dx

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