Final answer to the problem
$2\ln\left|\frac{1+z}{\sqrt{1-z^2}}\right|+C_0$
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Step-by-step Solution
How should I solve this problem?
- Integrate by trigonometric substitution
- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- 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
Simplify the expression
$2\int\frac{1}{1-z^2}dz$
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. We can solve the integral 2\int\frac{1}{1-z^2}dz by applying integration method of trigonometric substitution using the substitution. Now, in order to rewrite d\theta in terms of dz, we need to find the derivative of z. We need to calculate dz, we can do that by deriving the equation above. Substituting in the original integral, we get.
Final answer to the problem
$2\ln\left|\frac{1+z}{\sqrt{1-z^2}}\right|+C_0$
