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find-1-sinx-dx-




Question Number 37664 by Rio Mike last updated on 16/Jun/18
find ∫(1 + sinx)dx
$$\mathrm{find}\:\int\left(\mathrm{1}\:+\:{sinx}\right){dx} \\ $$
Answered by Joel579 last updated on 16/Jun/18
∫ 1 dx + ∫ sin x dx  = x − cos x + C
$$\int\:\mathrm{1}\:{dx}\:+\:\int\:\mathrm{sin}\:{x}\:{dx} \\ $$$$=\:{x}\:−\:\mathrm{cos}\:{x}\:+\:{C} \\ $$
Commented by Rio Mike last updated on 16/Jun/18
−cos x?
$$−\mathrm{cos}\:\mathrm{x}? \\ $$
Commented by Joel579 last updated on 17/Jun/18
Yes  ∫ sin x dx = −cos x + C
$$\mathrm{Yes} \\ $$$$\int\:\mathrm{sin}\:{x}\:{dx}\:=\:−\mathrm{cos}\:{x}\:+\:{C} \\ $$

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