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- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
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- Weierstrass Substitution
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- 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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$\int\left(\frac{\ln\left(x\right)}{\ln\left(10\right)}\right)^2dx$
Learn how to solve problems step by step online. Solve the integral of logarithmic functions int(log(x)^2)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)}. The power of a quotient is equal to the quotient of the power of the numerator and denominator: \displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}. Take the constant \frac{1}{\ln\left|10\right|^2} out of the integral. We can solve the integral \int\ln\left(x\right)^2dx by applying integration by parts method to calculate the integral of the product of two functions, using the following formula.
