Final answer to the problem
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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Simplify the expression
Learn how to solve integrals of rational functions problems step by step online.
$2\int\frac{1}{1-z^2}dz$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int((2z)/((1-z^2)z))dz. Simplify the expression. Apply the formula: \int\frac{1}{1-x^2}dx=\frac{1}{2}\ln\left(\frac{x+1}{x-1}\right)+C, where x=z. Multiply the fraction and term in 2\cdot \left(\frac{1}{2}\right)\ln\left|\frac{z+1}{z-1}\right|. As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration C.