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- 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
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The trinomial $x^4+2\cos\left(\frac{2\pi }{5}\right)x^2+1$ is a perfect square trinomial, because it's discriminant is equal to zero
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$\Delta=b^2-4ac=2^2-4\left(1\right)\left(1\right) = 0$
Learn how to solve problems step by step online. Integrate the function 1/(x^4+2x^2cos((2*pi)/5)+1) from 0 to infinity. The trinomial x^4+2\cos\left(\frac{2\pi }{5}\right)x^2+1 is a perfect square trinomial, because it's discriminant is equal to zero. Using the perfect square trinomial formula. Factoring the perfect square trinomial. We can solve the integral \int\frac{1}{\left(x^{2}+1\right)^{2}}dx by applying integration method of trigonometric substitution using the substitution.