Basic Integration Formulae

 $\int_{ }^{ }\sec x\tan x\ dx=$  

•  $\sec\ x+C$  

•  $\sec^2x+C$  

•  $\tan\ x+C$  

•  $\tan^2x+C$  

 $\int_{ }^{ }\left(\frac{1}{1+x^2}\right)dx=$  

•  $\sin^{-1}x+C$  

•  $\tan x+C$  

•  $\tan^{-1}x+C$  

•  $\cot^{-1}x+C$  

 $\int_{ }^{ }\left(\operatorname{cosec}^2x\right)dx=$  

•  $\cot x+C$  

•  $-\cot x+C$  

•  $\operatorname{cosec}x\cot x+C$  

•  $-\operatorname{cosec}x\cot x+C$  

 $\int_{ }^{ }\left(a^x\right)dx=$  

•  $\frac{a^x}{\log a}+C$  

•  $a^x\log a+C$  

•  $a^x+C$  

• none of these

 $\int_{ }^{ }\left(\frac{1}{x\sqrt{x^2-1}}\right)dx=$  

•  $\operatorname{cosec}^{-1}x+C$  

•  $\sec^{-1}x+C$  

•  $\cot^{-1}x+C$  

• none of these

 $\int_{ }^{ }\left(e^x\right)dx=$  

•  $e^x+C$   

•  $x+C$  

•  $0$  

• none of these

What is an antiderivative?

• The opposite of a derivative
• The same as a derivative
• A second derivative
• It always represents velocity.

What does C represent in an antiderivative?

• A variable
• A constant
• None of these
• Unknown

∫ 1/x dx

• ln x
• ln x + C
• -1/x²
• -1/x² + C

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

∫cosx dx = 

• -secx + C
• secx + C
• sinx + C
• -sinx + C