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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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Rewrite the expression $\frac{1}{\frac{3}{2}\left(x^2-4x+4\right)}$ inside the integral in factored form
Learn how to solve integrals of rational functions problems step by step online.
$\int\frac{1}{\frac{3}{2}\left(x-2\right)^{2}}dx$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int(1/((x^2-4x+4)3/2))dx. Rewrite the expression \frac{1}{\frac{3}{2}\left(x^2-4x+4\right)} inside the integral in factored form. Divide fractions \frac{1}{\frac{3}{2}\left(x-2\right)^{2}} with Keep, Change, Flip: a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}. Take the constant \frac{1}{3} out of the integral. Apply the formula: \int\frac{n}{\left(x+a\right)^c}dx=\frac{-n}{\left(c-1\right)\left(x+a\right)^{\left(c-1\right)}}+C, where a=-2, c=2 and n=2.
