Question

Tìm:

a) \(\int8\sin xdx;\)

b) \(\int\left(2\sin x-5\cos x\right)dx.\)

Answer 1

a) \(\int {8\sin xdx} = 8\int {\sin xdx} = 8( - \cos x) + C = - 8\cos x + C\).

b) \(\int {(2\sin x - 5\cos x)dx} = 2\int {\sin xdx} - 5\int {\cos xdx} \)

\( = 2( - \cos x) - 5\sin x + C = - 2\cos x - 5\sin x + C\).