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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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Multiplying the fraction by $\ln\left|x\right|$
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$\int_{1}^{2}\frac{\ln\left(x\right)}{x^3}dx$
Learn how to solve problems step by step online. Integrate the function 1/(x^3)ln(x) from 1 to 2. Multiplying the fraction by \ln\left|x\right|. Rewrite the exponent using the power rule \frac{a^m}{a^n}=a^{m-n}, where in this case m=0. We can solve the integral \int x^{-3}\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.