Final answer to the problem
$\left(x+\frac{5}{2}\right)^2+\frac{35}{4}$
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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
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- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
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1
Add and subtract $\displaystyle\left(\frac{b}{2a}\right)^2$
$x^2+5x+15+\left(\frac{5}{2}\right)^2- \left(\frac{5}{2}\right)^2$
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$x^2+5x+15+\left(\frac{5}{2}\right)^2- \left(\frac{5}{2}\right)^2$
Learn how to solve problems step by step online. Factor the expression x^2+5x+15. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Calculate the power \left(\frac{5}{2}\right)^2. Multiply the fraction and term in - \frac{25}{4}. Simplify the addition \left(x+\frac{5}{2}\right)^2+15-\frac{25}{4}.
Final answer to the problem
$\left(x+\frac{5}{2}\right)^2+\frac{35}{4}$
