We have changed our privacy policy. In addition, we use cookies on our website for various purposes. By continuing on our website, you consent to our use of cookies. You can learn about our practices by reading our privacy policy.
© 2016 Shmoop University, Inc. All rights reserved.
Definite Integrals

Definite Integrals

Definite Integrals: It's Inte-Great True or False

1. Identify the integrand of the expression .

-> (y2 + 3y)

2. Find . -> 28
3. Find .

-> -8

4. Which of the following statements are true for all integrable real-valued functions f?

(I)  is the area under the curve of f on [a, b].

(II) is the weighted area between f and the x-axis on [a, b]. 


(IV)  -> (II), (III), (IV)

5. Let g(t) be the function graphed below. What is ?

-> -7

6. Consider the function f(x) graphed below. 

Which of the following could be the value of ?

-> -48

7. What is the estimate of given by TRAP(2) ? -> 26
8. Let f (x) be the function graphed below. 

If , what is the area of the shaded region?

-> 13

9. If , what is a?

-> -8

10. Let . This function is the same as the function y = x, except that f is undefined when x = 1. Which of the following statements is true? ->