Determine the following.
$\int (\frac{11}{x} + \frac{x}{11}) d x$
$\int (\frac{11}{x} + \frac{x}{11}) d x = ◻$

Answer

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Answer

$\frac{x^{2}}{22} + 11 \ln | x | + C$

Steps

Step 1 ：Integrate each term separately: $\int \frac{11}{x} d x$ and $\int \frac{x}{11} d x$

Step 2 ：The integral of $\frac{11}{x}$ is $11 \ln | x |$

Step 3 ：The integral of $\frac{x}{11}$ is $\frac{x^{2}}{22}$

Step 4 ：Add the two results together to get the final answer

Step 5 ： $\frac{x^{2}}{22} + 11 \ln | x | + C$