Question

antidifferntitate sin 3x

Answer 1

To antidifferentiate sin(3x), we can use the integration formula for the sine function:

∫sin(x) dx = -cos(x) + C

Since the argument of the sine function is 3x, we need to adjust the formula accordingly. We divide the argument by 3 to make it sin(3x):

∫sin(3x) dx = ∫(1/3) * 3sin(3x) dx

Now, we can apply the formula and adjust for the constant factor of 1/3:

= (1/3) * (-cos(3x)) + C

Therefore, the antidifferentiation of sin(3x) is (1/3) * (-cos(3x)) + C.