Find the following integral: int (sin x + cos | vedclass

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(A) We use the linearity property of the integral: $\int (\sin x + \cos x) \, dx = \int \sin x \, dx + \int \cos x \, dx$. Knowing that $\int \sin x \

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$-\cos x + \sin x + C$

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(A) We use the linearity property of the integral: $\int (\sin x + \cos x) \, dx = \int \sin x \, dx + \int \cos x \, dx$. Knowing that $\int \sin x \, dx = -\cos x + C_1$ and $\int \cos x \, dx = \sin x + C_2$,we combine them: $\int (\sin x + \cos x) \, dx = -\cos x + \sin x + C$,where $C = C_1 + C_2$ is the constant of integration.

Find the following integral: $\int (\sin x + \cos x) \, dx$

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