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Definite Integrals

Definite Integrals

Definite Integrals of Non-Negative Functions Exercises

Example 1

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

Example 2

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

Example 3

For the 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

  • Let g(t) = 8 – 3t. Find .

Example 9

Let s(t) = 9 – 3t. Find 

Example 10

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