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Rewrite the fraction $\frac{u}{\frac{1}{2}+u^2}$ inside the integral as the product of two functions: $u\frac{1}{\frac{1}{2}+u^2}$
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$5\int u\frac{1}{\frac{1}{2}+u^2}du$
Learn how to solve trigonometric integrals problems step by step online. Find the integral 5int(u/(1/2+u^2))du. Rewrite the fraction \frac{u}{\frac{1}{2}+u^2} inside the integral as the product of two functions: u\frac{1}{\frac{1}{2}+u^2}. We can solve the integral \int u\frac{1}{\frac{1}{2}+u^2}du by applying integration by parts method to calculate the integral of the product of two functions, using the following formula. First, identify u and calculate du. Now, identify dv and calculate v.