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Câu hỏi: Tìm nguyên hàm của hàm số $y=\sin \left( x-1 \right)$.
A. $\int{\sin \left( x-1 \right)\text{d}x}=\cos \left( x-1 \right)+C$.
B. $\int{\sin \left( x-1 \right)\text{d}x}=\left( x-1 \right)\cos \left( x-1 \right)+C$.
C. $\int{\sin \left( x-1 \right)\text{d}x}=-\cos \left( x-1 \right)+C$.
D. $\int{\sin \left( x-1 \right)\text{d}x}=\left( 1-x \right)\cos \left( x-1 \right)+C$.
A. $\int{\sin \left( x-1 \right)\text{d}x}=\cos \left( x-1 \right)+C$.
B. $\int{\sin \left( x-1 \right)\text{d}x}=\left( x-1 \right)\cos \left( x-1 \right)+C$.
C. $\int{\sin \left( x-1 \right)\text{d}x}=-\cos \left( x-1 \right)+C$.
D. $\int{\sin \left( x-1 \right)\text{d}x}=\left( 1-x \right)\cos \left( x-1 \right)+C$.
Ta có: $\int{\sin \left( x-1 \right)\text{d}x}=-\cos \left( x-1 \right)+C$.
Đáp án C.