Evaluate the integral. I (x2 + 8)e-X dx 8 – 9e -1 +e¯* Enhanced Feedback Please try again. Recall that f(x)g'(x)dx = f(x)g(x) | - | g(x)F(x)dx. a lettin

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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Evaluate the integral.
'1
(x2 + 8)e¬X dx
8 - 9e-1
-x
+e
Enhanced Feedback
b
Please try again. Recall that
f(x)g'(x)dx = f(x)g(x)
g(x)f"(x)dx.
a
Try using integration by parts twice and letting dv
e-X dx both times.
Additional Materials
Transcribed Image Text:Evaluate the integral. '1 (x2 + 8)e¬X dx 8 - 9e-1 -x +e Enhanced Feedback b Please try again. Recall that f(x)g'(x)dx = f(x)g(x) g(x)f"(x)dx. a Try using integration by parts twice and letting dv e-X dx both times. Additional Materials
Evaluate the integral by making the given substitution.
| xV x3 + 27 dx, u = x³ + 27
x²/
()
3
+ C
Enhanced Feedback
Please try again. Recall the substitution rule for indefinite integrals: If u = g(x) is a diffe
| (g(x))g'(x)dx
f(u)du.
Transcribed Image Text:Evaluate the integral by making the given substitution. | xV x3 + 27 dx, u = x³ + 27 x²/ () 3 + C Enhanced Feedback Please try again. Recall the substitution rule for indefinite integrals: If u = g(x) is a diffe | (g(x))g'(x)dx f(u)du.
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