(3) Find the domain of f(x) = log(6 + x – x²) (A) (-∞, 3) (B) (-2, 3) (C) (3, ∞) (D) (-∞, -2) U (3, o)

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A: The objective of the question is evaluate the indefinite integral in partial fraction.

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A: 11. ∫022x-3dx12. ∫-11x3+2xdx13. ∫03x2-2dx

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A: find the integration

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A: This question can be solved using the concept of graphs and derivatives.

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A: We can solve as follows

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A: Solution is given below:

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A: Use simple integration formula.

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A: To find the Laplace transform of given function.

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A: According to guidelines we solve only first question.

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A: Given that,     92arcsinx+22+3x+21-x+2292+C

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