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# Integrate the function $\cos\left(\frac{\pi }{2}x\right)$ from 0 to $1$

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##  Step-by-step Solution 

Problem to solve:

$\int_{0}^{1}\cos\left(\frac{\pi }{2}x\right)dx$

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Solve integral of cos\pi /2xdx from 0 to 1 using basic integralsSolve integral of cos\pi /2xdx from 0 to 1 using u-substitutionSolve integral of cos\pi /2xdx from 0 to 1 using integration by partsSolve integral of cos\pi /2xdx from 0 to 1 using tabular integration

### Main topic:

Definite Integrals

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