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Definite Integrals

Definite Integrals

Example 1

For each integral identify the (a) integrand, (b) lower limit of integration, (c) upper limit of integration, and (d) variable of integration.

Example 2

For each integral identify the (a) integrand, (b) lower limit of integration, (c) upper limit of integration, and (d) variable of integration.

Example 3

For each integral identify the (a) integrand, (b) lower limit of integration, (c) upper limit of integration, and (d) variable of integration.

Example 4

Translate into symbols:

  • The integral of the function g(t) on the interval [8,9].

Example 5

Translate into symbols: 

  • The integral of 6x2 from x = -2 to x = 5.

Example 6

Translate into symbols:

  • The integral of y from y = a to y = b.

Example 7

Find the integral. (hint: graph the function in question)

  • Let f ( x ) = 5. Find 

Example 8

Find the integral.

  • Let g (t) = 8-3t. Find .

Example 9

Find the integral. 

  • Let s(t) = 9-3t. Find 

Example 10

Find the integral. 

  • Find .
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