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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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$\int y^3\frac{\ln\left(y\right)}{\ln\left(10\right)}dy$
Learn how to solve integration techniques problems step by step online. Solve the integral of logarithmic functions int(y^3log(y))dy. 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 y^3. Take the constant \frac{1}{\ln\left|10\right|} out of the integral. We can solve the integral \int y^3\ln\left(y\right)dy by applying integration by parts method to calculate the integral of the product of two functions, using the following formula.