Let f and g be continuous functions such that: [Fox f(x) = 3 And So, determine the value of: [2f(x) - 3g(x) dx = 18 g(x) dx

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A: From the convention of interval notation, We can write: a≤x≤b  as x∈[a,b] which represents x which…

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A: SOLUTION-

Q: independent

A: We will solve the problem.

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A: A detailed solution is given below.

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A: we use the  formula ∫dx1+x2 = tan-1 x    +C

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A: Above question is solved.

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A: Let's find power series expansion.

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A: Above question is solved.

Q: Evaluate using Partial Fraction Decomposition: S x² (x+1)²(x-1) dx

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A: Above question is solved.

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