Integration 2

Evaluate:  $\int_{-2}^6xdx$  

(a)  

Find the average value of the function  $f\left(x\right)=x+3$  on the interval  $\left[3,9\right]$  

•  $54$  

•  $67.5$  

•  $7.5$  

•  $9$  

 $\int_0^6\left(\frac{1}{2}x-2\right)dx=$  

(a)  

Find the average value of $f\left(x\right)=6-2x$  on $\left[-1,4\right]$  

• 3

• 3.2

• 10

• 15

Evaluate the definite integral.

• 3
• 9/2
• 9
• Not possible

_{Evaluate the integral}

• 30/3
• 31/3
• 29/3
• 32/3

• 12/3
• 6.5
• 5.5
• 11/3

Find the area under a curve defined by the equation 5x⁴+3x+7 between the x values 0 and 4.

• 1200
• 1/12
• 1134
• 1076

Another word for 'integral' is .. .

• Constant
• Derivative
• Antiderivative
• Theorem

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

• 100
• 99
• 150
• 152