Test 3 Review

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

What should be used for u in the integral?

• no u needed
• 4t²
• t³
• 1/4t²

Integrate  $\sqrt{x}$  with respect to x

•  $x^{\frac{1}{2}}+c$  

•  $\frac{1}{2}x^{-\frac{1}{2}}+\ c$  

•  $\frac{2}{3}x^{\frac{3}{2}}+\ c$  

•  $\frac{3}{2}x^{\frac{3}{2}}+\ c$  

Find the area under the curve y =3x²-2x from x= 1 to x =5.

• 100
• 99
• 150
• 152

Find the area of a shaded region

• 80/3

• 40/3

• 26/3

• 80/6

Find the area under the curve

• ^17/5

• 6/5

• 13/3

• 1/3

What is the derivative of

 $e^x$  ?

•  $e^x$  

•  $\ln e^x$  

•  $\frac{1}{e^x}$  

•  $\sqrt{\ln x}$  

•  $xe^x$  

Find the derivative f(x) = xe^x 

• f'(x) = e^x
• f'(x) = xe^x + xe^x
• f'(x) = e^x - xe^x
• f'(x) = e^x + xe^x

• A.
• B.
• C.
• D.