Review Integrals before Final

Find the antiderivative of (3/x)

• $3x^0+C$
  

• $3+C$
  

• 
  

  $3\ln\left|x\right|+C$

• $\frac{3}{x^2}+C$
  

Find the general antiderivative

 $f\left(x\right)=\frac{1}{x^9}$  

•  $\frac{-9}{x^8}+C$  

•  $\frac{-1}{8x^8}+C$  

•  $\frac{-9}{x^{10}}+C$  

•  $\frac{-1}{10x^{10}}+C$  

Given v(x) = -sin(x), determine the general antiderivative.

• cos(x)

• -cos(x)

• -cos(x)+C

• cos(x)+C

Find the specific antiderivative of f'(x)=8x³+12x, f(1)=10

• f(x)=2x⁴+6x²+10

• f(x)=2x⁴+6x²+2

• f(x)=4x²+12x-6

• f(x)=24x²+12x-26

 $\int\left(3x^2-8\right)dx$  

•  $6x$  

•  $x^3-8x$  

•  $6x+C$  

•  $x^3-8x+C$  

 $\int\ \frac{4}{\sqrt{x}}dx$  

•  $-8\sqrt{x}+C$  

•  $-2\sqrt{x}+C$  

•  $2\sqrt{x}+C$  

•  $8\sqrt{x}+C$  

If   $\int_{-5}^3g\left(x\right)dx=-2\$   and  $\int_{-5}^{15}g\left(x\right)dx=9$   

Find the value of  $\int_3^{15}\ \ g\left(x\right)dx$  

• 7

• 11

• - 11

• - 7

If   $\int_{-5}^3g\left(x\right)dx=-2\$   and  $\int_{-5}^{15}g\left(x\right)dx=9$   

Find the value of  $\int_{15}^3\ \ g\left(x\right)dx$  

• 7

• 11

• - 11

• - 7

If   $\int_{-5}^3g\left(x\right)dx=-2\$   and  $\int_{-5}^{15}g\left(x\right)dx=9$   

Find the value of  $\int_6^6\ 2g\left(x\right)dx$  

• 0

• - 4

• 18

• 4

If  $\int_2^{10}f\left(x\right)dx=-6$  
Find the value of  $\int_2^{10}-2f\left(x\right)dx$  

• - 12

• 4

• - 8

• 12