Final answer to the problem
$2\left(x+\frac{15}{4}\right)^2+\frac{31}{8}$
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Step-by-step Solution
How should I solve this problem?
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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 $a$ ($2$) to all terms
Learn how to solve completing the square problems step by step online.
$2\left(x^2+\frac{15}{2}x+16\right)$
Learn how to solve completing the square problems step by step online. Factor the expression 2x^2+15x+32. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (2) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+\frac{15}{2}x+\frac{225}{16}. Simplify the addition \left(x+\frac{15}{4}\right)^2+16-\frac{225}{16}.
Final answer to the problem
$2\left(x+\frac{15}{4}\right)^2+\frac{31}{8}$
