In the following exercises (17-24), evaluate the integral using area formulas.17. ∫30(3−x)dx∫03(3−x)dx18. ∫32(3−x)dx∫23(3−x)dx Show Solution 19. ∫3−3(3−|x|)dx∫−33(3−|x|)dx20. ∫60(3−|x−
Example: Using the Properties of the Definite Integral Use the properties of the definite integral to express the definite integral of f(x)=−3x3+2x+2f(x)=−3x3+2x+2 over the interval [−2,1][−2,1] as the sum of three definite integrals. Show Solution Try It Use the proper...
We focus on definite integrals of continuous functions in one variable over closed intervals. In particular, we consider expressions given by the following syntax: e := v | c | e1 op e2 | f (e) | Deriv(e, v) | Integral(e, v, a, b) Here v is a variable; c is a constant (...
We focus on definite integrals of continuous functions in one variable over closed intervals. In particular, we consider expressions given by the following syntax: e := v | c | e1 op e2 | f (e) | Deriv(e, v) | Integral(e, v, a, b) Here v is a variable; c is a constant (...