Final answer to the problem
$3\left(x-\frac{1}{6}\right)^2+\frac{35}{12}$
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Step-by-step Solution
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- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Prove from LHS (left-hand side)
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1
Use the complete the square method to factor the trinomial of the form $ax^2+bx+c$. Take common factor $a$ ($3$) to all terms
Learn how to solve completing the square problems step by step online.
$3\left(x^2-\frac{1}{3}x+1\right)$
Learn how to solve completing the square problems step by step online. Factor the expression 3x^2-x+3. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (3) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+-\frac{1}{3}x+\frac{1}{36}. Simplify the addition \left(x- \frac{1}{6}\right)^2+1-\frac{1}{36}.
Final answer to the problem
$3\left(x-\frac{1}{6}\right)^2+\frac{35}{12}$
