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In this lesson, we will learn how to find the average value of a function using integration.

Q1:

What is the average value of this function on the interval [ β 5 , 4 ] ?

Q2:

What is the average value of this function on the interval [ β 5 , 5 ] ?

Q3:

Find the average value of π ( π₯ ) = β 2 π₯ on the interval [ 0 , 2 ] .

Q4:

Find the average value of π ( π₯ ) = β 3 π₯ on the interval [ 0 , 3 ] .

Q5:

Determine the average value of π ( π₯ ) = 3 π₯ β 2 π₯ 2 on the interval [ β 3 , 5 ] .

Q6:

Determine the average value of π ( π₯ ) = 3 π₯ β 8 π₯ 2 on the interval [ β 1 , 3 ] .

Q7:

Find the average value of π ( π₯ ) = π₯ ( π₯ β 5 ) 2 3 2 on the interval [ β 1 , 1 ] .

Q8:

Find the average value of π ( π₯ ) = π₯ ( π₯ β 3 ) 2 3 2 on the interval [ β 2 , 1 ] .

Q9:

Using the figure, arrange the following from least to greatest:

Q10:

Find the average value of π ( π’ ) = π’ π’ l n on the interval [ 1 , 3 ] .

Q11:

Find the average value of π ( π’ ) = π’ π’ l n on the interval [ 1 , 4 ] .

Q12:

Find the average value of π ( π₯ ) = 4 3 π₯ c o s on the interval ο β 5 π 1 8 , 5 π 1 8 ο .

Q13:

Find the average value of π ( π₯ ) = 4 4 π₯ c o s on the interval ο β π 2 4 , π 2 4 ο .

Q14:

Find the average value of π ( π₯ ) = ( 2 π₯ β 5 ) 2 on the interval [ 1 , 4 ] .

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