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Find the integral of (1)/(x^(2) + a^(2))...

Find the integral of `(1)/(x^(2) + a^(2))` w.r.t.x and hence evaluate `int (1)/(x^(2) + 2x + 3)` dx.

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The correct Answer is:
`int ( dx)/( ( x+1)^(2) + ( sqrt(2) )^(2) ) = (1)/( sqrt2) tan^(-1) "" ( (x+1)/( sqrt2) ) +c`
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SUNSTAR PUBLICATION-ANNUAL EXAM QUESTION PAPER MARCH - 2016-PART - D (Answer any six questions)
  1. IF length of x reactangle is decreasing at the rate of 3 cm / ...

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  2. If y= ( sin^(-1) x)^(2) , show that (1-x^(2) ) (d^2 y)/( dx^2) - x (dy...

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  3. Find the integral of (1)/(x^(2) + a^(2)) w.r.t.x and hence evaluate in...

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  4. Using integration find the area of the region bounded by the triangle ...

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  5. Derive the equation of a plane perpendicular to a given vector and pas...

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  6. Choose the correct answer: The probability that a student is not a s...

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  7. The probability that a student is not a swimmer is (1)/(5). Find the p...

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  8. Solve the differential equation y dx + ( x-y"e^(y) ) dy = 0

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  9. If A = [{:(-2),(4),(5):}] and B = [1, 3-6], verify that (AB)^(1) = B...

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  10. Solve the system of linear equations by matrix method : 2x-3y + 5z = 1...

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  11. Let f: N to R be defined by f(x) = 4x^(2) + 12x+ 15. Show that f: N to...

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  12. IF length of x reactangle is decreasing at the rate of 3 cm / ...

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  13. IF length of x reactangle is decreasing at the rate of 3 cm / ...

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  14. If y= ( sin^(-1) x)^(2) , show that (1-x^(2) ) (d^2 y)/( dx^2) - x (dy...

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  15. Find the integral of (1)/(x^(2) + a^(2)) w.r.t.x and hence evaluate in...

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  16. Using integration find the area of the region bounded by the triangle ...

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  17. Derive the equation of a plane perpendicular to a given vector and pas...

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    |

  18. The probability that a student is not a swimmer is (1)/(5). Find the p...

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  19. The probability that a student is not a swimmer is (1)/(5). Find the p...

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  20. Solve the differential equation y dx + ( x-y"e^(y) ) dy = 0

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