## University Calculus: Early Transcendentals (3rd Edition)

$\int$-5 sin t dt = -5$\int$ sin t dt = -5$\times$ -cos t +C = 5 cos t + C To check, we differentiate the answer with respect to t: $\frac{d}{dt}(5 cos t+C)$= (5$\times$ -sin t )+0= -5 sin t = integrand. Hence the answer is correct.