sinx dx
-cosx + c
The integral of sin(x) with respect to x can be found by using integration by substitution. Here’s how to do it:
Let u = x, then du/dx = 1, so dx = du
Now substitute u = x into sin(x) to give sin(u)
The integral now becomes ∫ sin(u) du.
Integrating sin(u) with respect to u gives -cos(u) + C, where C is the constant of integration.
Substituting back in x for u, we have the final answer: ∫ sin(x) dx = -cos(x) + C
Therefore, the answer to the integral of sin(x) with respect to x is -cos(x) + C.
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