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#### Petrus

##### Well-known member

- Feb 21, 2013

- 739

\(\displaystyle \int_4^1\int_1^2 \frac{x}{y}+\frac{y}{x}dydx\)

My progress:

\(\displaystyle \int_1^4[x\ln(y)+\frac{y^2}{2x}]_1^2\)

\(\displaystyle \int_1^4 x\ln(2)+\frac{2}{x}-\frac{1}{2x}dx\)

\(\displaystyle [\frac{x^2\ln(2)}{2}+2\ln(2)-\ln(2x)]_1^4\)

What I am doing wrong?

Regards,