[2x*dx (Ans. 3 2 x' +c ); (xi) J3x°dx - 3 In\x)| 3 |3x'dx (Ans. (Se* –x? +2)dx , (x + 0) (x) x' +c); (xii) 1 5e* + +c (Ans. fóx°(x' + 2)" dx 1 (x' +2)00 +c 99 (хї) 8e ); (хiv) 2.x+3 dx, (Ans. (Ans. 50 2x+3 +C); 4e²

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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Question
S2x°dx (Ans. 3
-x' +c
); (xi) J3x ax (Ans.
3.
-x2 +2)dx
x'
+c); (xii)
, (x + 0)
1
5e* ++3 In\x) +c
(Ans.
-
Sóx*(x' +2)® dx
(Ans. 50
+ 2)00 +c
99
); (xiv) J8e***dx
6x² + 4x +10
(хiї)
8e?r+3
(Ans. 4e2*+3
+ C);
1
$10x(x² +3)*dx
[24xe" dx
(xv)
(Ans.
(x² +3)° +c). (Tvi'
(x³ +x² +5x)³
(x' +x² + 5x)?
(Ans.
); (xvii)
(Ans. 4e3r²
+c)
2
4
2
(xvii) ) *(x + 1)"² dr
(Ans.
x(x+1)³/2
3
:(x+1)$/2
15
3 k(xix) In xdx
(x>0)(Ans.
1
re²x +
4
x(In x – 1) – c ): (xx) Jr'e**dx
x²e²
2x
+c
(Ans.
2
).
Transcribed Image Text:S2x°dx (Ans. 3 -x' +c ); (xi) J3x ax (Ans. 3. -x2 +2)dx x' +c); (xii) , (x + 0) 1 5e* ++3 In\x) +c (Ans. - Sóx*(x' +2)® dx (Ans. 50 + 2)00 +c 99 ); (xiv) J8e***dx 6x² + 4x +10 (хiї) 8e?r+3 (Ans. 4e2*+3 + C); 1 $10x(x² +3)*dx [24xe" dx (xv) (Ans. (x² +3)° +c). (Tvi' (x³ +x² +5x)³ (x' +x² + 5x)? (Ans. ); (xvii) (Ans. 4e3r² +c) 2 4 2 (xvii) ) *(x + 1)"² dr (Ans. x(x+1)³/2 3 :(x+1)$/2 15 3 k(xix) In xdx (x>0)(Ans. 1 re²x + 4 x(In x – 1) – c ): (xx) Jr'e**dx x²e² 2x +c (Ans. 2 ).
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