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Here is an integral problem, you must know tdt, and the integral result is 2π 2;

Since the square of the cost can be changed into cos2t through the angle doubling formula, only the integration of tcostdt needs to be calculated. Just use the partial integral to calculate.

Integralttcostdt = IntegraltTDsint = Tsint-Integraltsindt = Tsint+Cost, and the result of this item is 0.

The last items are tdt/2 and tcos2tdt/2. The former result is π 2, and the latter result is 0.

The final total result is 3 π 2.

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