Final answer to the problem
$v^3\sqrt{a^2-v^2}x+C_0$
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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
The integral of a constant is equal to the constant times the integral's variable
$v^3\sqrt{a^2-v^2}x$
2
As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration $C$
$v^3\sqrt{a^2-v^2}x+C_0$
Final answer to the problem
$v^3\sqrt{a^2-v^2}x+C_0$
