Final answer to the problem
$t^{3}+6t+4.2426406\ln\left|t-\sqrt{2}\right|-\frac{1014}{239}\ln\left|t+\sqrt{2}\right|+C_0$
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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
Take out the constant $3$ from the integral
Learn how to solve integrals by partial fraction expansion problems step by step online.
$3\int\frac{t^4}{t^2-2}dt$
Learn how to solve integrals by partial fraction expansion problems step by step online. Find the integral int((3t^4)/(t^2-2))dt. Take out the constant 3 from the integral. Divide t^4 by t^2-2. Resulting polynomial. Expand the integral \int\left(t^{2}+2+\frac{4}{t^2-2}\right)dt into 3 integrals using the sum rule for integrals, to then solve each integral separately.
Final answer to the problem
$t^{3}+6t+4.2426406\ln\left|t-\sqrt{2}\right|-\frac{1014}{239}\ln\left|t+\sqrt{2}\right|+C_0$
