Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Choose an option
- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
- Load more...
Rewrite the expression $\frac{2u}{4u^2-1}$ inside the integral in factored form
Learn how to solve logarithmic differentiation problems step by step online.
$\int\frac{2u}{\left(2u+1\right)\left(2u-1\right)}du$
Learn how to solve logarithmic differentiation problems step by step online. Find the integral int((2u)/(4u^2-1))du. Rewrite the expression \frac{2u}{4u^2-1} inside the integral in factored form. Take out the constant 2 from the integral. Rewrite the fraction \frac{u}{\left(2u+1\right)\left(2u-1\right)} in 2 simpler fractions using partial fraction decomposition. Expand the integral \int\left(\frac{1}{4\left(2u+1\right)}+\frac{1}{4\left(2u-1\right)}\right)du into 2 integrals using the sum rule for integrals, to then solve each integral separately.
