Final answer to the problem
$\frac{\left(x^4-1\right)\ln\left|x^4-1\right|-x^4+1}{\ln\left|2\right|}+C_0$
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Step-by-step Solution
How should I solve this problem?
- Integrate by substitution
- Integrate by partial fractions
- 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
- FOIL Method
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1
Find the integral
$\int\log_{2}\left(x^4-1\right)dx$
Learn how to solve problems step by step online.
$\int\log_{2}\left(x^4-1\right)dx$
Learn how to solve problems step by step online. Integrate the function log2(x^4+-1). Find the integral. Change the logarithm to base e applying the change of base formula for logarithms: \log_b(a)=\frac{\log_x(a)}{\log_x(b)}. Take the constant \frac{1}{\ln\left|2\right|} out of the integral. The integral \int\ln\left(x^4-1\right)dx results in \left(x^4-1\right)\ln\left(x^4-1\right)-\left(x^4-1\right).
Final answer to the problem
$\frac{\left(x^4-1\right)\ln\left|x^4-1\right|-x^4+1}{\ln\left|2\right|}+C_0$
