Integrals: JEE Mains 2022 June 29 Shift 1

Medium· Definite integrals and properties· +4 / −1
∫05cos⁡(π(x−[x2]))dx\displaystyle\int_0^5\cos\left(\pi\left(x-\left[\dfrac x2\right]\right)\right)dx, where [t][t] denotes greatest integer less than or equal to tt, is equal to :
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