Final answer to the problem
$2\left(\frac{1}{2}b^2- \left(\frac{1}{2}\right)a^2\right)$
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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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The integral of a constant times a function is equal to the constant multiplied by the integral of the function
Learn how to solve integrals of polynomial functions problems step by step online.
$2\int_{a}^{b} xdx$
Learn how to solve integrals of polynomial functions problems step by step online. Integrate the function 2x from a to b. The integral of a constant times a function is equal to the constant multiplied by the integral of the function. 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. Evaluate the definite integral.
Final answer to the problem
$2\left(\frac{1}{2}b^2- \left(\frac{1}{2}\right)a^2\right)$
