Final answer to the problem
$\frac{1}{2}b^2- \left(\frac{1}{2}\right)a^2$
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Step-by-step Solution
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- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
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1
Applying the power rule for integration, $\displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}$, where $n$ represents a number or constant function, in this case $n=1$
$\left[\frac{1}{2}y^2\right]_{a}^{b}$
2
Evaluate the definite integral
$\frac{1}{2}b^2- \left(\frac{1}{2}\right)a^2$
Final answer to the problem
$\frac{1}{2}b^2- \left(\frac{1}{2}\right)a^2$
