设=cos4x,则dy=
A: 4sin4xdx
B: -4sin4xdx
C: (1/4)sin4xdx
D: -(1/4)sin4xdx
A: 4sin4xdx
B: -4sin4xdx
C: (1/4)sin4xdx
D: -(1/4)sin4xdx
举一反三
- 已知\( y = \cos x \),则\( dy \)为( ). A: \( \cos x \) B: \( {\rm{ - }}\sin x \) C: \( \cos xdx \) D: \( {\rm{ - }}\sin xdx \)
- 已知\( y = \tan x \),则\( dy \)为( ). A: \( \tan xdx \) B: \( \cos xdx \) C: \( {\sec ^2}xdx \) D: \( \sin xdx \)
- $\int \sin^3 x \cos x dx = $ A: $\frac{\sin^4 x}{4} +C$ B: ${\sin^4 x} +C$ C: $\frac{\cos^4 x}{4} +C$ D: $\frac{\cos^4 x}{4} +C$
- 设$\int_0^\pi {[f(x) + f''(x)]\sin xdx = 5} $,$f(\pi ) = 2$,求$f(0)$=( ) A: 1 B: 2 C: 3 D: 4
- 下列计算正确的是() A: log2cos7π4=-12 B: 若f(cos x)=cos 2x,则f(sin 30°)=12 C: 若sin(π+α)=-12,则sin(4π-α)=-12 D: 设tan(π+α)=2,则sin(α-π)+cos(π-α)sin(π+α)-cos(π-α)=1