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** Step-by-step Solution **

Problem to solve:

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Simplifying

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$\int\pi^{2}\sin\left(\frac{1}{2}\right)\tan\left(\frac{1}{2}\right)tt^2dt$

Learn how to solve integral calculus problems step by step online. Find the integral int(pi*pisin(1/2)ttan(1/2)t^2)dt. Simplifying. Simplify the expression inside the integral. The integral of a function times a constant (2.584962) is equal to the constant times the integral of the function. Apply the power rule for integration, \displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}, where n represents a number or constant function, such as 3.

** Final Answer

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