Final answer to the problem
$-4\left(x-1\right)^2-1$
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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
$-4\left(x^2-2x+\frac{5}{4}\right)$
Learn how to solve polynomial factorization problems step by step online.
$-4\left(x^2-2x+\frac{5}{4}\right)$
Learn how to solve polynomial factorization problems step by step online. Factor the expression -4x^2+8x+-5. 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+-2x+1. Simplify the addition \left(x-1\right)^2+\frac{5}{4}-1.
Final answer to the problem
$-4\left(x-1\right)^2-1$
