Show that function f:R R, f(x) = 2x2 – 4x + 3 admits primitives on R and determine a primitive of it Calculate the primitives of the functionf: D R, using the table of undefined integrals and their properties a) f(x) = x-5 b) f(x) = sinx - 3e* + 5 c) f(x) = 2x? + 8 - ! d) f(x) =Vx %3D e) f(x) = 6x4 %3D ) f(x) = (x- 4)²+2 For the function f: R- R, f(x) = find the primitive of F whose graph passes through the point M (4; -1) Calculate undefined integrals, applying known integration methods dx V1- 7x (2х — 1)lпxdx Show that the function F: [0; +o) → R, F(x) =x, it is a primitive of function f: [0; +0) - R, f(x) = Vx. %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Show that function f:R → R, f(x) = 2x? – 4x + 3 admits primitives on R and determine a primitive of it
Calculate the primitives of the functionf: D- R, using the table of undefined integrals and their properties
a) f(x) = x-5
b) f(x) = sinx - 3e* + 5
c) f(x) = 2x? + 8
d) f(x) =Vx
%3D
e) f(x) =
6z4
п f) — (х - 4)2+2
For the function f: R; R,, f(x) =;
find the primitive of F whose graph passes through the point M (4; -1)
Calculate undefined integrals, applying known integration methods
dx
J V1- 7x
|(2x – 1)lnxdx
(2х
Show that the function F: [0; +o) → R, F(x) =x, it is a primitive of function
f: [0; +0) - R, f(x) = Vx.
Transcribed Image Text:Show that function f:R → R, f(x) = 2x? – 4x + 3 admits primitives on R and determine a primitive of it Calculate the primitives of the functionf: D- R, using the table of undefined integrals and their properties a) f(x) = x-5 b) f(x) = sinx - 3e* + 5 c) f(x) = 2x? + 8 d) f(x) =Vx %3D e) f(x) = 6z4 п f) — (х - 4)2+2 For the function f: R; R,, f(x) =; find the primitive of F whose graph passes through the point M (4; -1) Calculate undefined integrals, applying known integration methods dx J V1- 7x |(2x – 1)lnxdx (2х Show that the function F: [0; +o) → R, F(x) =x, it is a primitive of function f: [0; +0) - R, f(x) = Vx.
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