\( \int {\csc x(\csc x - \cot x)dx} = \)( )
A: \( - \cot x - \csc x + C \)
B: \( - \cot x + \csc x + C \)
C: \( \cot x + \csc x + C \)
D: \( \cot x -\csc x + C \)
A: \( - \cot x - \csc x + C \)
B: \( - \cot x + \csc x + C \)
C: \( \cot x + \csc x + C \)
D: \( \cot x -\csc x + C \)
举一反三
- \( \int {\sec xdx} \)=( )。 A: \( \ln \left| {\csc x + \tan x} \right| + C \) B: \( \ln \left| {\sec x + \cot x} \right| + C \) C: \( \ln \left| {\sec x + \tan x} \right| + C \) D: \( \ln \left| {\csc x + \cot x} \right| + C \)
- 求函数[img=192x40]17da653862ff7b6.png[/img]的导数； ( ) A: cos(x)/sin(x) - cot(x)*(cot(x)^2 + 1) B: cos(x)/sin(x) C: cot(x)*(cot(x)^2 + 1) D: cos(x)/sin(x) - cot(x)*(cot(x)^2 + 1)+cot(x)
- \(\int { { {\sec }^{3}}xdx}\)=( ) A: \(\frac{1}{2}\sec x\cot x-\frac{1}{2}\ln \left| \sec x+\tan x \right|+C\) B: \(\frac{1}{2}\sec x\tan x+\frac{1}{2}\ln \left| \sec x+\tan x \right|+C\) C: \(-\frac{1}{2}\csc x\tan x+\frac{1}{2}\ln \left| \sec x-\cot x \right|+C\) D: \(-\frac{1}{2}\sec x\tan x-\frac{1}{2}\ln \left| \csc x+\tan x \right|+C\)
- 函数\( y = \ln \cos x\)的导数为（ ）. A: \(\tan x\) B: \( - \tan x\) C: \(\cot x\) D: \(- \cot x\)
- 函数\(y = \ln \sin x\)的导数为（ ）. A: \( - \cot x\) B: \(\cot x\) C: \(- \tan x\) D: \(\tan x\)