Final answer to the problem
$-\left(x+\frac{5}{2}\right)^2+\frac{65}{4}$
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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 $a$ ($-1$) to all terms
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$-\left(x^2+5x-10\right)$
Learn how to solve polynomial factorization problems step by step online. Factor the expression -x^2-5x+10. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (-1) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+5x+\frac{25}{4}. Simplify the addition \left(x+\frac{5}{2}\right)^2-10-\frac{25}{4}.
Final answer to the problem
$-\left(x+\frac{5}{2}\right)^2+\frac{65}{4}$
