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Question Number 156240 by SANOGO last updated on 09/Oct/21

$${\underset{\frac{-\pi }{2}}{\int }}^{\frac{\pi }{2}}\mid sin\left(x\right)\mid dx$$$${\underset{0}{\int }}^{\pi }\mid cos\left(x\right)\mid dx$$

Commented by SANOGO last updated on 09/Oct/21

$$mercibienledur$$

Commented by tabata last updated on 09/Oct/21

$$\mathit{y}\mathit{o}\mathit{u}\mathit{a}\mathit{r}\mathit{e}\mathit{w}\mathit{e}\mathit{l}\mathit{c}\mathit{o}\mathit{m}\mathit{e}$$

Commented by tabata last updated on 09/Oct/21

$${\int }_{-\frac{\mathit{\pi }}{2}}^{\frac{\mathit{\pi }}{2}}\mid \mathit{s}\mathit{i}\mathit{n}\left(\mathit{x}\right)\mid \mathit{d}\mathit{x}$$$$$$$$\mid \mathit{s}\mathit{i}\mathit{n}\left(\mathit{x}\right)\mid \mathit{i}\mathit{s}\mathit{a}\mathit{l}\mathit{w}\mathit{a}\mathit{y}\mathit{s}\mathit{e}\mathit{v}\mathit{e}\mathit{n}\mathit{f}\mathit{u}\mathit{n}\mathit{c}\mathit{t}\mathit{i}\mathit{o}\mathit{n}\mathit{a}\mathit{n}\mathit{d}\mathit{s}\mathit{y}\mathit{m}\mathit{e}\mathit{t}\mathit{r}\mathit{i}\mathit{c}$$$$\mathit{a}\mathit{b}\mathit{o}\mathit{u}\mathit{t}\mathit{z}\mathit{e}\mathit{r}\mathit{o}$$$$$$$$\therefore {\int }_{-\frac{\mathit{\pi }}{2}}^{\frac{\mathit{\pi }}{2}}\mid \mathit{s}\mathit{i}\mathit{n}\left(\mathit{x}\right)\mid \mathit{d}\mathit{x}=2{\int }_0^{\frac{\mathit{\pi }}{2}}\mid \mathit{s}\mathit{i}\mathit{n}\left(\mathit{x}\right)\mid \mathit{d}\mathit{x}$$$$$$$$\mathit{I}=-2{\left(\mathit{c}\mathit{o}\mathit{s}\left(\mathit{x}\right)\right)}_0^{\frac{\mathit{\pi }}{2}}=-2(-1)=2$$$$$$$$\mathit{w}\mathit{h}\mathit{e}\mathit{n}:{\int }_0^{\mathit{\pi }}\mid \mathit{c}\mathit{o}\mathit{s}\left(\mathit{x}\right)\mid \mathit{d}\mathit{x}\mathit{a}\mathit{l}\mathit{s}\mathit{o}=2$$$$$$$$⟨\mathit{M}.\mathit{T}⟩$$

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