3. One version of the Fundamental Theorem of Calculus tells us that if F is any antiderivative of the function f, then f (x) dx F(b) – F(a). Use this to evaluate the following definite integrals. »4 (a) / e + Vx dx (x+ 1)² dx (b) х ~16 (c) dx Vr3 (4) / 4 dx (e) (t² + 3)(t – 1) dt (f) Зет 2 sin x dx
3. One version of the Fundamental Theorem of Calculus tells us that if F is any antiderivative of the function f, then f (x) dx F(b) – F(a). Use this to evaluate the following definite integrals. »4 (a) / e + Vx dx (x+ 1)² dx (b) х ~16 (c) dx Vr3 (4) / 4 dx (e) (t² + 3)(t – 1) dt (f) Зет 2 sin x dx
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![3. One version of the Fundamental Theorem of Calculus tells us that if F is
any
antiderivative
of the function f, then
f (x) dx
F(b) – F(a). Use this to evaluate the following
definite integrals.
»4
(a) /
e + Vx dx
(x+ 1)²
dx
(b)
х
~16
(c)
dx
Vr3
(4) /
4
dx
(e)
(t² + 3)(t – 1) dt
(f)
Зет
2 sin x dx](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe771a70f-201d-4ea6-8ef0-587ca9b73f69%2F169721b4-967a-43ba-aaed-6478a93d220e%2Fhu743n.png&w=3840&q=75)
Transcribed Image Text:3. One version of the Fundamental Theorem of Calculus tells us that if F is
any
antiderivative
of the function f, then
f (x) dx
F(b) – F(a). Use this to evaluate the following
definite integrals.
»4
(a) /
e + Vx dx
(x+ 1)²
dx
(b)
х
~16
(c)
dx
Vr3
(4) /
4
dx
(e)
(t² + 3)(t – 1) dt
(f)
Зет
2 sin x dx
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