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 $\frac{u}{u^2+a^2}$ inside the integral as the product of two functions: $u\frac{1}{u^2+a^2}$
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$\int u\frac{1}{u^2+a^2}du$
Learn how to solve problems step by step online. Find the integral int(u/(u^2+a^2))du. Rewrite the fraction \frac{u}{u^2+a^2} inside the integral as the product of two functions: u\frac{1}{u^2+a^2}. We can solve the integral \int u\frac{1}{u^2+a^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.