Final answer to the problem
$\frac{3}{8}x^2+\frac{1}{2}\ln\left|x-1\right|-\frac{1}{2}\ln\left|x+1\right|+C_0$
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Step-by-step Solution
How should I solve this problem?
- Integrate using basic integrals
- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Product of Binomials with Common Term
- FOIL Method
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1
Find the integral
$\int\frac{3x^3-3x+4}{4x^2-4}dx$
Learn how to solve integral calculus problems step by step online.
$\int\frac{3x^3-3x+4}{4x^2-4}dx$
Learn how to solve integral calculus problems step by step online. Integrate the function (3x^3-3x+4)/(4x^2-4). Find the integral. Divide 3x^3-3x+4 by 4x^2-4. Resulting polynomial. Expand the integral \int\left(\frac{3}{4}x+\frac{1}{x^2-1}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately.
Final answer to the problem
$\frac{3}{8}x^2+\frac{1}{2}\ln\left|x-1\right|-\frac{1}{2}\ln\left|x+1\right|+C_0$
