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Question

Question: \({\int_{}^{}\left( \frac{x + 2}{x + 4} \right)}^{2}\)e<sup>x</sup> dx is equal to...

(x+2x+4)2{\int_{}^{}\left( \frac{x + 2}{x + 4} \right)}^{2}ex dx is equal to

A

ex(xx+4)+ce^{x}\left( \frac{x}{x + 4} \right) + c

B

ex(x+2x+4)+ce^{x}\left( \frac{x + 2}{x + 4} \right) + c

C

ex(x2x+4)+ce^{x}\left( \frac{x–2}{x + 4} \right) + c

D

(2xexx+4)+c\left( \frac{2xe^{x}}{x + 4} \right) + c

Answer

ex(xx+4)+ce^{x}\left( \frac{x}{x + 4} \right) + c

Explanation

Solution

̃ =

= ex (x/x+ 4) + C