Given the following parametric equations, convert to rectangular equations: x = t + 5 and y = t² – 11. Write the equation in standard form. Use the ^ symbol for adding exponents. Example: Type x^2 for x2. No spaces!

Q: Integrate the following:  use the U-substitution. ∫ (x2+5x)dx/4√x+9

A: Given problem:- Integrate the following:    use the U-substitution.   ∫ (x2 +5x)dx/ 4√x+9

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A: We have to find the integral

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A: A detailed solution is given below.

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A: According to our guidelines, we can answer only one question. Other questions can be reposted.

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A: I am attaching image so that you understand each and every step.

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Q: r'dA D = {(x, y) : 1 <I<e, 0Sys In(r)}

A: We need to apply the integral limits appropriately and then integrate it.