Find the most general antiderivative.
-$\int ( - 6 \cos t ) d t$
A) $- 6 \sin t + C$
B) $- \frac { 6 } { \sin t } + C$
C) $- 6 \cos t + C$
D) $- \frac { \sin t } { 6 } + C$

Question

Quizplus · Accepted Answer

The antiderivative of $-6\cos(t)$ is $-6\sin(t) + C$, because the derivative of $\sin(t)$ is $\cos(t)$, and we need to account for the constant multiplier and the constant of integration $C$.

Find the Most General Antiderivative ∫(−6cos⁡t)dt\int ( - 6 \cos t ) d t∫(−6cost)dt

Find the Most General Antiderivative $\int ( - 6 \cos t ) d t$