\(\int { { {\sin }^{2}}x { { \cos }^{5}}xdx}\)=( ) A: \(\frac{1}{3} { { \sin }^{3}}x-\frac{2}{5} { { \sin }^{5}}x+\frac{1}{7} { { \sin }^{7}}x+C\) B: \(\frac{2}{3} { { \sin }^{3}}x-\frac{1}{5} { { \sin }^{5}}x-\frac{1}{7} { { \sin }^{7}}x+C\) C: \(\frac{1}{3} { { \cos }^{3}}x-\frac{2}{5} { { \cos }^{5}}x+\frac{1}{7} { { \cos }^{7}}x+C\) D: \(\frac{2}{3} { { \cos }^{3}}x-\frac{1}{5} { { \cos }^{5}}x-\frac{1}{7} { { \cos }^{7}}x+C\)

( )sin(5x+2)'=cos(5x+2) A: 5 B: 1/5 C: 2 D: 1/2

求微分方程 [img=635x61]17da6537085dd29.png[/img] 的特解； （ ） A: (3*sin(5*x))/exp(2*x) B: exp(2*x) C: (3*sin(5*x)) D: (3*cos(5*x))/exp(2*x)

函数[img=79x27]180355ae2690a03.png[/img]在x=2处的二阶泰勒展开式为 A: exp(sin(2))+cos(2)*exp(sin(2))*(x-2)+exp(sin(2))*(sin(2)/2-cos(2)^2/2)*(x-2)^2 B: exp(sin(2))+cos(2)*exp(sin(2))*(x-2)-exp(sin(2))*(sin(2)/2-cos(2)^2/2)*(x-2)^2 C: exp(sin(2))+cos(2)*exp(sin(2))*(x-2)-exp(sin(2))*(sin(2)/2+cos(2)^2/2)*(x-2)^2 D: exp(sin(2))+cos(2)*exp(sin(2))*(x-2)+exp(sin(2))*(sin(2)/2+cos(2)^2/2)*(x-2)^2

( )[sin(5x+2)]'=cos(5x+2). A: 5 B: 1/5 C: 2 D: 1/2

将正弦电压u= 10 sin( 314t+30°) V 施加于感抗XL = 5 W的电感元件上，则通过该元件的电流i = ( )。[img=114x55]1802f8dcf43e45a.jpg[/img] A: 50 sin( 314t+90°) A B: 2 sin( 314t+60°) A C: 2 sin( 314t－60°) A D: 5 sin( 314t－60°) A

智慧职教: 某一端口网络的电压和电流为关联参考方向，其电压和电流分别为： u(t)=16+25√2sinωt+4√2 sin(3ωt+30°)+√6 sin⁡(5ωt+50°)V ，i(t)=3+10√2 sin⁡(ωt-60°)+4√2 sin⁡(2ωt+20°)+2√2 sin⁡(4ωt+40°) A，则网络的平均功率_______。

sin(α-β)cosβ+cos(α-β)sinβ=( ) A: sin(α-2β) B: cos(α-2β) C: sinα D: cosα

$\int {{1 \over {3 + 5\cos x}}} dx = \left( {} \right)$ 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: $\ln \left| {{{\cos x + \sin x} \over {\cos x - \sin x}}} \right| + C$

一阶常微分方程[img=152x26]1802e4d6075ee4f.png[/img]的通解为 A: sin(2*t)/5-cos(2*t)/10+C*exp(-4*t) B: sin(2*t)/7+cos(2*t)/5-C*exp(-3*t) C: sin(2*t)/7-C*cos(2*t)/10+C*exp(-2*t) D: sin(2*t)/7-cos(2*t)/7+C*exp(-5*t)