Engineering Maths - Calculus

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31. Integration ∫ log x dx has the value

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Option : C
Explanation :

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32. The integral

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Option : B
Explanation :

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33. If f(x), φ(x) and ψ (x) have derivatives when a ≤ x ≤ b, then E a value of c of x lying between a and b such that

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Option : C
Explanation :

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34. The limit of the function f(x) = [ 1 - a⁴ / x⁴ ] as x ---> ∞ is given by

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Option : A
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35. The following function has a local minima at which value of x

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B
C
D

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Option : C
Explanation :

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