Evaluate the integral. Express your answer using words or symbols.
�ç(-2sin x) dx
To evaluate the integral ∫ (-2sin x) dx, we can use the integral of sine function formula, which states that the integral of sin(x) with respect to x is equal to -cos(x) plus a constant.
Therefore, applying this formula to our integral, we have:
∫ (-2sin x) dx = -2 ∫ sin x dx
Since the coefficient -2 is a constant, we can bring it outside the integral:
= -2 ∫ sin x dx
Now, using the integral of sin(x) formula, we know that the integral of sin(x) with respect to x is equal to -cos(x) plus a constant:
= -2 (-cos x) + C
Finally, simplifying the expression, we have:
= 2cos(x) + C
So, the integral of -2sin(x) with respect to x is 2cos(x) plus a constant C.