Final answer to the problem
$\frac{\pi ^2\sin\left(\frac{1}{2}\right)\tan\left(\frac{1}{2}\right)t^{4}}{4}+C_0$
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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
Simplify the expression
$\int\pi ^2\sin\left(\frac{1}{2}\right)\tan\left(\frac{1}{2}\right)t^{3}dt$
Learn how to solve integrals of polynomial functions problems step by step online. Find the integral int(pi*pisin(1/2)ttan(1/2)t^2)dt. Simplify the expression. The integral of a function times a constant (\pi ^2) is equal to the constant times the integral of the function. The integral of a function times a constant (\sin\left(\frac{1}{2}\right)) is equal to the constant times the integral of the function. The integral of a function times a constant (\tan\left(\frac{1}{2}\right)) is equal to the constant times the integral of the function.
Final answer to the problem
$\frac{\pi ^2\sin\left(\frac{1}{2}\right)\tan\left(\frac{1}{2}\right)t^{4}}{4}+C_0$
