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- Integrate using trigonometric identities
- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using basic integrals
- Product of Binomials with Common Term
- FOIL Method
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$\int\ln\left(\sqrt{\frac{\left(x-8\right)^{26}}{\left(3x-7\right)^{38}}}\right)dx$
Learn how to solve problems step by step online. Integrate the function ln((((x-8)^26)/((3x-7)^38))^1/2). Find the integral. Using the power rule of logarithms: \log_a(x^n)=n\cdot\log_a(x). The logarithm of a quotient is equal to the logarithm of the numerator minus the logarithm of the denominator. Using the power rule of logarithms: \log_a(x^n)=n\cdot\log_a(x).