Definite Integral Review

If  $\int_2^5g\left(x\right)dx=12$  what is the average value of  $g\left(x\right)$  on the interval  $\left[2,5\right]$  ?

(a)  

 $\int_0^3\left(3x^2-4x\right)dx=$  

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 $\int_2^6f\left(x\right)dx=$  

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 $\int_1^8h\left(x\right)dx=12$  and  $\int_5^8h\left(x\right)dx=7$  find  $\int_1^5h\left(x\right)dx$  

(a)  

Using the areas of each region given
 $\int_a^df\left(x\right)=$  

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• 2

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For which functions below should we add 1 to the power to get an antiderivative?

• $f\left(x\right)=e^x$

• $f\left(x\right)=x^2$

• $f\left(x\right)=x^{-2}$

• $f\left(x\right)=x^{-1}$

• $f\left(x\right)=\sin x$

Evaluate the definite integral.

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• 9/2
• 9
• Not possible

_{Evaluate the integral}

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

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• 1/12
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• 1076