Final answer to the problem
$3\left(\frac{t^2}{\sqrt{81-t^2}}\right)x+C_0$
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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
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- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
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1
Take out the constant $3$ from the integral
$3\int\frac{t^2}{\sqrt{81-t^2}}dx$
Learn how to solve integrals of rational functions problems step by step online.
$3\int\frac{t^2}{\sqrt{81-t^2}}dx$
Learn how to solve integrals of rational functions problems step by step online. Find the integral int((3t^2)/((81-t^2)^(1/2)))dx. Take out the constant 3 from the integral. The integral of a constant is equal to the constant times the integral's variable. As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration C.
Final answer to the problem
$3\left(\frac{t^2}{\sqrt{81-t^2}}\right)x+C_0$
