Fundamental Theorem of Calculus

_{Evaluate the integral}

• 30/3
• 31/3
• 29/3
• 32/3

• 12/3
• 6.5
• 5.5
• 11/3

Tags

CCSS.HSF.IF.A.2

Evaluate the Definite Integral 

• 8π
• 16π
• 4π
• 2π

 $\int_1^5\left(-x^2+6x-10\right)dx$  

•  $\frac{28}{3}$  

•  $\frac{-28}{3}$  

• 28

•  $-\frac{7}{2}$  

 $\int_{-4}^0\left(2x+2\right)dx$  

• -6

• -17

• -9

• -8

 $\int_{-3}^{-1}\left(-\frac{5}{x^2}\right)dx$  

•  $-\frac{10}{3}$  

• -2

•  $-\frac{1}{9}$  

•  $\frac{10}{3}$  

 $\$  Which of the following is equivalent to 

 $\int_0^{\pi}\sin xdx$  

•  $\int_0^{\pi}\cos xdx$  

•  $\int_{\pi}^{2\pi}\sin xdx$  

•  $\int_{-\pi}^0\sin xdx$  

•  $\int_{-\frac{\pi}{2}}^{\frac{\pi}{2}}\sin xdx$  

•  $\int_{-\frac{\pi}{2}}^{\frac{\pi}{2}}\cos xdx$  

The graph of a piecewise linear function f  for $-1\le x\le4$  is shown. What is the value of  $\int_{-1}^4f\left(x\right)dx?$  

• 1

• 4

• 8

• 2.5

• 5.5

Evaluate in terms of area
 $\int_0^2f\left(x\right)dx$  

• 4

• -4

• 4 + 2π

• -4 - 2π

 $\int_0^5e^{-x^2}dx$  Use your calculator to evaluate

• 5

• 0

• .443

• .886

• 1