Evaluate int_{0}^{5} frac{x}{4 x^{2}+5} d x

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Step:1 ：Evaluate (int_{0}^{5} frac{x}{4 x^{2}+5} d x)Step:2 ：Use the method of partial fractions to decompose the integrand into simpler fractionsStep:3 ：Integrate the decomposed fractionsStep:4 ：(int_{0}^{5} frac{x}{4 x^{2}+5} d x = -frac{log(5)}{8} + frac{log(105)}{8})Step:5 ：(boxed{-frac{log(5)}{8} + frac{log(105)}{8}})

Answer

Step: 1 ：Evaluate (int_{0}^{5} frac{x}{4 x^{2}+5} d x)Step: 2 ：Use the method of partial fractions to decompose the integrand into simpler fractionsStep: 3 ：Integrate the decomposed fractionsStep: 4 ：(int_{0}^{5} frac{x}{4 x^{2}+5} d x = -frac{log(5)}{8} + frac{log(105)}{8})Step: 5 ：(boxed{-frac{log(5)}{8} + frac{log(105)}{8}})

Evaluate $\int_{0}^{5} \frac{x}{4 x^{2}+5} d x$

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