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- 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
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Rewrite the fraction $\frac{\ln\left(x\right)}{x\sqrt{1-4\ln\left(x\right)-\ln\left(2x\right)}}$ inside the integral as the product of two functions: $\frac{1}{x\sqrt{1-4\ln\left(x\right)-\ln\left(2x\right)}}\ln\left(x\right)$
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$\int\frac{1}{x\sqrt{1-4\ln\left(x\right)-\ln\left(2x\right)}}\ln\left(x\right)dx$
Learn how to solve problems step by step online. Solve the integral of logarithmic functions int(ln(x)/(x(1-4ln(x)-ln(2x))^(1/2)))dx. Rewrite the fraction \frac{\ln\left(x\right)}{x\sqrt{1-4\ln\left(x\right)-\ln\left(2x\right)}} inside the integral as the product of two functions: \frac{1}{x\sqrt{1-4\ln\left(x\right)-\ln\left(2x\right)}}\ln\left(x\right). We can solve the integral \int\frac{1}{x\sqrt{1-4\ln\left(x\right)-\ln\left(2x\right)}}\ln\left(x\right)dx 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.
