Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Integrate by parts
- Integrate by partial fractions
- Integrate by substitution
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
- FOIL Method
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Rewrite the fraction $\frac{u}{\frac{1}{2}+u^2}$ inside the integral as the product of two functions: $u\frac{1}{\frac{1}{2}+u^2}$
Learn how to solve differential calculus problems step by step online.
$5\int u\frac{1}{\frac{1}{2}+u^2}du$
Learn how to solve differential calculus 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 or choose u and calculate it's derivative, du. Now, identify dv and calculate v.