Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Integrate by parts
- Integrate by partial fractions
- Integrate by substitution
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
- FOIL Method
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Divide fractions $\frac{1}{\frac{3}{2}\left(x^2-4x+4\right)}$ with Keep, Change, Flip: $a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}$
Learn how to solve integrals of rational functions problems step by step online.
$\int\frac{2}{3\left(x^2-4x+4\right)}dx$
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. Divide fractions \frac{1}{\frac{3}{2}\left(x^2-4x+4\right)} 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}. The trinomial \left(x^2-4x+4\right) is a perfect square trinomial, because it's discriminant is equal to zero. Using the perfect square trinomial formula. Factoring the perfect square trinomial.