Practicing Success
Practicing Success
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| The area enclosed between the curves \(y=\sin x,y=\cos x,0\leq x\leq \frac{\pi}{2}\) is |
\(\sqrt{2}-1\) \(\sqrt{2}+1\) \(2(\sqrt{2}-1)\) \(2(\sqrt{2}+1)\) |
| \(2(\sqrt{2}-1)\) |
| \(\begin{aligned}\text{Area}&=\int_{0}^{\frac{\pi}{4}}(\cos x-\sin x)dx+\int_{\frac{\pi}{4}}^{\frac{\pi}{2}}(\sin x-\cos x)dx\\ &=2(\sqrt{2}-1)\end{aligned}\) |
