Final answer to the problem
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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Simplifying
Learn how to solve integrals of exponential functions problems step by step online.
$\int_{0}^{\frac{3}{2}}\frac{1}{x^2-4}dx$
Learn how to solve integrals of exponential functions problems step by step online. Integrate the function 1/(x^2-4) from 0 to 3/2. Simplifying. Factor the difference of squares x^2-4 as the product of two conjugated binomials. Rewrite the fraction \frac{1}{\left(x+2\right)\left(x-2\right)} in 2 simpler fractions using partial fraction decomposition. Find the values for the unknown coefficients: A, B. The first step is to multiply both sides of the equation from the previous step by \left(x+2\right)\left(x-2\right).