$\int_{0}^{\frac{π}{2}} cos x d x$

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Solution

Let $t = sin x \Rightarrow d t = cos x d x$
When $x = 0 \Rightarrow t = 0$
when $x = \frac{π}{2} \Rightarrow t = 1$
$\int_{0}^{1} d t = {[t]}_{0}^{1}$
$= [1 - 0] = 1$

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