下列函数中，哪一个不是，f（x）=sin2x的原函数（）？
A: 3sin2x+cos2x-3
B: sin2x+1
C: cos2x-3cos2x+3
D: （1／2）cos2x+5／2
A: 3sin2x+cos2x-3
B: sin2x+1
C: cos2x-3cos2x+3
D: （1／2）cos2x+5／2
举一反三
- $\int {{1 \over {3 + 5\cos x}}} dx = \left( {} \right)$ A: ${1 \over 4}\ln \left| {{{2\cos x + \sin x} \over {2\cos x - \sin x}}} \right| + C$ B: ${1 \over 4}\ln \left| {{{2\cos {x \over 2} + \sin {x \over 2}} \over {2\cos {x \over 2} - \sin {x \over 2}}}} \right| + C$ C: $\ln \left| {{{\cos {x \over 2} + \sin {x \over 2}} \over {\cos {x \over 2} - \sin {x \over 2}}}} \right| + C$ D: $\ln \left| {{{\cos x + \sin x} \over {\cos x - \sin x}}} \right| + C$
- 常微分方程[img=243x26]1802e4d57c1aad8.png[/img]的解为： A: exp(-x)*sin(3^(1/2)*x)*C2+exp(-x)*cos(3^(1/2)*x)*C1-1/4*cos(2*x)，C1、C2为任意常数 B: exp(-2x)*cos(3^(1/2)*x)*C2+exp(-2x)*cos(3^(1/2)*x)*C1-1/4*sin(2*x)，C1、C2为任意常数 C: exp(-3x)*sin(3^(1/2)*x)*C2+exp(-3x)*sin(3^(1/2)*x)*C1-1/4*sin(2*x)，C1、C2为任意常数 D: exp(-4x)*sin(3^(1/2)*x)*C2-exp(-4x)*cos(3^(1/2)*x)*C1-1/4*cos(2*x)，C1、C2为任意常数
- 【单选题】设y=sin(cos(x)),求 结果为:(本题10.0分) A. cos(cos(x))*cos(x)+ sin(cos(x))*sin(x)^2 B. - cos(cos(x))*cos(x) - sin(cos(x))*sin(x)^2 C. - cos(cos(x))*cos(x)^2 - sin(cos(x))*sin(x)^2 D. - cos(cos(x))*cos(x) ^2- sin(cos(x))*sin(x)
- 求函数[img=107x38]17da6537b12a2e0.png[/img]的导数； ( ) A: 2*x*sin(1/x) - sin(1/x) B: 2xsin(1/x) - cos(1/x) C: 2*x*sin(1/x) - cos(1/x) D: 2*x*cos(1/x) - cos(1/x)
- 设[img=335x39]180307330358786.png[/img]，画出函数[img=34x25]180307330bcd082.png[/img]和[img=33x25]1803073313a8ced.png[/img]的图形并填实两条曲线之间的区域. A: Plot[{Cos[x]+x/2,Sin[x]+x/3},{x,0,4},Filling→{2→{1}}] B: Plot[{Cos[x]+x/2,Sin[x]+x/3},{x,0,4},Filling→{1→{2}}] C: Plot[{Cos[x]+x/2,Sin[x]+x/3},{x,0,4},Filling→{2→1}] D: Plot[{Cos[x]+x/2,Sin[x]+x/3},{x,0,4},Filling→{1→2}]