Evaluate the following definite integrals using special techniques for integration: (x³) dx /(x²+1) J(x²+2x-1) dx/ (3-x) J(x4+x³-2) dx/(x²+5) J (e2x + 1) dx / (ex + 1) J (x² - 2x + 1) dx/(x + 2) J (x² + 2x + 1) dx/(x² + 2)

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A: Using the given test we show that the series is convergent.

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A: Given integration is ∫x2-a2dx. Consider x=a sec x.

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A: We need to find the amount Terry need to. Earn to pay of his debt and pay his college books fee.

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A: Given data: The given expression is (2u2-4u-3)(6u+7). The general expression for multiplication of…

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A:

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A:

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A: (a+b)2=a2+b2+2ab

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A: Addition of linear equations :  aX + b = c  pX + q = r  Addition :  (a + p)X + (b+q) = (c+r)

Q: 18 8.

A:

Q: 6. 13 12 24

A: Explanation of the answer is as follows

Q: Perform the indicated operation.Simplify the result 4/ t+1 - (4t-7/ t2+7t+6 + 6/ t+6)

A: Given, 4/ t+1 - (4t-7/ t2+7t+6 + 6/ t+6) Opening the small bracket by multiplying the -1 4/t+1 - 4t…

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A:

Q: 2x+14, 5x+5 8x - 4

A: To solve for .

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A: Given Data: The measure of the larger curve is: a=75° The measure of the smaller curve is: b=15° The…

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A:

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A:

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A:

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A:

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A:

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A:

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A: Given

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A: To multiply  (-x+3)²

Q: Express in the form a + ib where a and b are real numbers. V1 - 2i

A: We will find out the required value.