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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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Take out the constant $6$ from the integral
Learn how to solve integration techniques problems step by step online. Solve the integral of logarithmic functions int((6ln(x))/(19x))dx. Take out the constant 6 from the integral. Take the constant \frac{1}{19} out of the integral. Multiply the fraction and term in 6\cdot \left(\frac{1}{19}\right)\int\frac{\ln\left(x\right)}{x}dx. We can solve the integral \int\frac{\ln\left(x\right)}{x}dx by applying integration by substitution method (also called U-Substitution). First, we must identify a section within the integral with a new variable (let's call it u), which when substituted makes the integral easier. We see that \ln\left(x\right) it's a good candidate for substitution. Let's define a variable u and assign it to the choosen part.