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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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Change the logarithm to base $e$ applying the change of base formula for logarithms: $\log_b(a)=\frac{\log_x(a)}{\log_x(b)}$
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$\int x\frac{\ln\left(4x\right)}{\ln\left(10\right)}dx$
Learn how to solve integration techniques problems step by step online. Solve the integral of logarithmic functions int(xlog(4*x))dx. Change the logarithm to base e applying the change of base formula for logarithms: \log_b(a)=\frac{\log_x(a)}{\log_x(b)}. Multiplying the fraction by x. Take the constant \frac{1}{\ln\left|10\right|} out of the integral. We can solve the integral \int x\ln\left(4x\right)dx by applying integration by parts method to calculate the integral of the product of two functions, using the following formula.
