Question

integration sin x dx​

Answer 1

Answer:

-cosx+c

Step-by-step explanation:

I hope it help you.

Answer 2

Answer:

∫ x sin(x) dx = –x cos(x) + sin(x) + c

Step-by-step explanation:

∫ x sin(x) dx

= ∫ u(dv/dx) dx

= uv – ∫ v(du/dx) dx

= –x cos(x) – ∫ –cos(x)*1 dx

= –x cos(x) – ∫ –cos(x) dx

= –x cos(x) + ∫ cos(x) dx

The integral of cos(x) is equal to sin(x). We can check this by differentiating sin(x), which does indeed give cos(x). Finally, as with all integration without limits, there must be a constant added, which I'll call c. So the final answer is

∫ x sin(x) dx = –x cos(x) + sin(x) + c