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- Integrate by partial fractions
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- Integrate using tabular integration
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- Weierstrass Substitution
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- Integrate using basic integrals
- Product of Binomials with Common Term
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Rewrite the fraction $\frac{5x^4+x^2+6x+1}{x^2\left(x^2+x+1\right)^2}$ in $4$ simpler fractions using partial fraction decomposition
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$\frac{1}{x^2}+\frac{-10x-10}{\left(x^2+x+1\right)^2}+\frac{4}{x}+\frac{-4x}{x^2+x+1}$
Learn how to solve problems step by step online. Find the integral int((5x^4+x^26x+1)/(x^2(x^2+x+1)^2))dx. Rewrite the fraction \frac{5x^4+x^2+6x+1}{x^2\left(x^2+x+1\right)^2} in 4 simpler fractions using partial fraction decomposition. Simplify the expression. The integral \int\frac{1}{x^2}dx results in: \frac{1}{-x}. The integral \int\frac{-10x-10}{\left(x^2+x+1\right)^2}dx results in: \frac{10}{x}+10\ln\left(x\right)-10\ln\left(x+1\right).
