Final answer to the problem
$4\left(x+\frac{7}{8}\right)^2-\frac{177}{16}$
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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
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- 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 $a$ ($4$) to all terms
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$4\left(x^2+\frac{7}{4}x-2\right)$
Learn how to solve polynomial factorization problems step by step online. Factor the expression 4x^2+7x+-8. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (4) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+\frac{7}{4}x+\frac{49}{64}. Simplify the addition \left(x+\frac{7}{8}\right)^2-2-\frac{49}{64}.
Final answer to the problem
$4\left(x+\frac{7}{8}\right)^2-\frac{177}{16}$
