Final answer to the problem
$-\frac{1}{32}\ln\left|x+1\right|+\frac{1}{32}\ln\left|x-1\right|+C_0$
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Step-by-step Solution
How should I solve this problem?
- Integrate by parts
- Integrate by partial fractions
- Integrate by substitution
- 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
- Load more...
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1
Solve the integral applying the substitution $u^2=x^2$. Then, take the square root of both sides, simplifying we have
$u=x$
Learn how to solve integrals by partial fraction expansion problems step by step online.
$u=x$
Learn how to solve integrals by partial fraction expansion problems step by step online. Find the integral int(1/(16x^2-16))dx. Solve the integral applying the substitution u^2=x^2. Then, take the square root of both sides, simplifying we have. Now, in order to rewrite dx in terms of du, we need to find the derivative of u. We need to calculate du, we can do that by deriving the equation above. Isolate dx in the previous equation. After replacing everything and simplifying, the integral results in.
Final answer to the problem
$-\frac{1}{32}\ln\left|x+1\right|+\frac{1}{32}\ln\left|x-1\right|+C_0$
