不定积分$\int
\tan ^{3}x \sec x\text{d}x=$( )
A: $\frac{1}{3} \sec^3 x+\sec x+C$
B: $\frac{1}{3} \sec^3 x-\sec x+C$
C: $\sec^3 x-\sec x+C$
D: $\sec^3 x+\sec x+C$
\tan ^{3}x \sec x\text{d}x=$( )
A: $\frac{1}{3} \sec^3 x+\sec x+C$
B: $\frac{1}{3} \sec^3 x-\sec x+C$
C: $\sec^3 x-\sec x+C$
D: $\sec^3 x+\sec x+C$
举一反三
- 不定积分$\int<br/>\tan ^{2}x \sec^{2}x\text{d}x=$( ) A: $\frac{1}{3}{{\tan }^{3}}x+C$ B: $-\frac{1}{3}{{\tan }^{3}}x+C$ C: $\frac{1}{3}{{\sec }^{3}}x+C$ D: $-\frac{1}{3}{{\sec }^{3}}x+C$
- \(\int { { {\sec }^{3}}xdx}\)=( ) 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: \(-\frac{1}{2}\sec x\tan x-\frac{1}{2}\ln \left| \csc x+\tan x \right|+C\)
- \( \int {\sec x(\sec x - \tan x)dx} = \)( ) A: \( \tan x - \sec x + C \) B: \( \tan x + \sec x + C \) C: \(- \tan x - \sec x + C \) D: \(- \tan x + \sec x + C \)
- 雨课堂: \( \int {\sec x(\sec x - \tan x)dx} = \)( )
- 3. 已知函数$y= \tan x$，则$y''(x) =$( )。 A: $ - \sec ^ 2 x \tan x$ B: $ \sec ^ 2 x \tan x$ C: $ - 2 \sec ^ 2 x \tan x$ D: $2 \sec ^2 x \tan x$