Sketch the Region Bounded by the Graphs of the Given $y=\frac{x}{x^{2}+5}$

question 87

Multiple Choice

Sketch the region bounded by the graphs of the given equations and find the area of their region. $y=\frac{x}{x^{2}+5}$ , $y=-\frac{1}{6} x^{2}$ , $x=1$

• A) \(\ln \left(\frac{6}{5}\right)\)
• B) \(4-\ln \left(\frac{6}{5}\right)\)
• C) \(\frac{1}{2} \ln \left(\frac{6}{5}\right)+\frac{1}{18}\)
• D) \(\frac{1}{2} \ln \left(\frac{6}{5}\right)-\frac{1}{18}\)

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