Jo 8-7. Find the derivative of the functions: (a) h(x) = | In(t) dt g(x) = [" (c) dz 24 +1 3r (b) f(x) = | V1+t² dt (d) r(a) = %3D du u2 +1 8-8. If f is continuous and g and h are differentiable functions, find a formula for dr ch(x) f(t) dt Jg(x) 8-9. Evaluate the integrals: 223
Jo 8-7. Find the derivative of the functions: (a) h(x) = | In(t) dt g(x) = [" (c) dz 24 +1 3r (b) f(x) = | V1+t² dt (d) r(a) = %3D du u2 +1 8-8. If f is continuous and g and h are differentiable functions, find a formula for dr ch(x) f(t) dt Jg(x) 8-9. Evaluate the integrals: 223
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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8-7 part (c)
the answer is x^1/2 ÷ 2(x^2+1) ,but what is the steps

Transcribed Image Text:J1
(c)
(2x e") dr
8-7. Find the derivative of the functions:
(a) h(r) 3=
In(t) dt
(c) g(z)
dz
24+1
3r ² - 1
(b) f(x) = ||
V1+t2 dt
du
= (r)1 (p)
u² +1
J2r
ph(z)
f(t) dt
8-8. If f is continuous and g and h are differentiable functions, find a formula for
dr Jg()
8-9. Evaluate the integrals:
223
9 Applications of Integration
dr
(c)
13.
(a)/(2-3r) (8- 3) da
dr
(d)/Inr)2
(b) /3r(x²-2)3/2 dr
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