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Essential Calculus Early Transcendentals
Find the exact area under the cosine curve $y=\cos x$ from $x=0$ to $x=b,$ where 0$\leqslant b \leqslant \pi / 2 .$ (Use a computer algebra system both to evaluate the sum and compute the limit.) In particular, what is the area if $b=\pi / 2 ?$