Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- 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
- FOIL Method
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Factor the difference of squares $16x^2-16$ as the product of two conjugated binomials
Learn how to solve integrals by partial fraction expansion problems step by step online.
$\int\frac{1}{\left(4x+4\right)\left(4x-4\right)}dx$
Learn how to solve integrals by partial fraction expansion problems step by step online. Find the integral int(1/(16x^2-16))dx. Factor the difference of squares 16x^2-16 as the product of two conjugated binomials. Rewrite the fraction \frac{1}{\left(4x+4\right)\left(4x-4\right)} in 2 simpler fractions using partial fraction decomposition. Expand the integral \int\left(\frac{-1}{8\left(4x+4\right)}+\frac{1}{8\left(4x-4\right)}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. We can solve the integral \int\frac{-1}{8\left(4x+4\right)}dx by applying integration by substitution method (also called U-Substitution). First, we must identify a section within the integral with a new variable (let's call it u), which when substituted makes the integral easier. We see that 4x+4 it's a good candidate for substitution. Let's define a variable u and assign it to the choosen part.
