Hi, I need some help solving this integral equations PROBLEMSSx'e * dx-3x1. Evaluate2х 2x+3e xe 3x2xx² +32-CA.-CС.332х 2x* +3-e xВ.2х 2-e 3x-CD.3x* +3xdx2. EvaluateVa + bx2(2a - bx) Va + bxА.2(2a – bx)Va + bxС.+C-C5b23b?2(bx – 2a) Va + bxВ.2(bx – 2a) Va + bxD.+C5b?3b?3. Evaluate Jcosdx25x sinx 3 sin(2x) sin' xА.5x sinx 3sin(2x) sin' xС.+C24+2162321632245xВ.16sinx 3sin(2x) sin' x+C5x sinx 3sin(2x) sin' xD.1623224232244. Evaluate tan' x - secʻ xdxtan' x tan x tan' x+C3tan' x tan xС.7А.75tan' x tan x tan’ x-Ctan' x tan x-CD.7В.73dx5. Evaluate4x -x?x- 2Cx- 2А.С.8/4x – x?-C4/4x– x?x+2X+2В.4/4x – x-CD.-C8/4x – xх? — Зх-1-dx+x? - 2x6. Evaluate :Vx(x+2)%A. In+CVx(x-С. In+C -2x*-dx7. Evaluate(1– x)*88А. х? + 6х -In(1-х)" +-(1-x)* +c1-xС. х? + 6х + In(1-х)' +-(1–x)² +c1-x8(1–x) +C8В. х? + 6х -In(1-х)" +D. x' + 6x + In(1–x)" +-(1–x) +C1-x1-xx' + x? + x+3-dx(x² +1)( x² +3)8. EvaluateA. In/x' +3 -1arctanx +CC. In/x' +3 + arctanx +CB. Invx? +3 +1arctan x + CD. In/x' + 3 – arctanx +C4x' + 2x² + 89. Evaluate+4)8-Cx' +48c. In(x' +4)} .XA. In(x +4)+ arctan2+ arctan+x' +48B. In(x? +4)- arctan-D. In(x' +4) - arctan22 x' +4+4dx10. Evaluatesinx – cosx –1XA. In tan+C2-CB. In tan +1+C+1+C3D.11. Find the area within the curves y = 25 – x², 256x = 3y², and 16y = 9x².C. 36.27 units?D. 32.67 units?A. 37.26 unitsB. 37.62 units?sin2012. Find the area bounded by the polar curve r =16| sin0 –2A. 16 sq. unitsB. 8 sq. unitsC. 4 sq. unitsD. 2 sq. units13. The region bounded by y = x', y = 0, and x =2 is revolved about the line x = 2 . itsolid of revolution generated using disk method.A. 10.5031 units?B. 10.0531 units?C. 10.3501 units?D. 10.3051 units?

Name: Hi, I need some help solving this integral equations PROBLEMSSx'e * dx
Uploaded: 2024-03-20T06:46:03.000Z
Channel: Bartleby
Description: Hi, I need some help solving this integral equations PROBLEMSSx'e * dx-3x1. Evaluate2х 2x+3e xe 3x2xx² +32-CA.-CС.332х 2x* +3-e xВ.2х 2-e 3x-CD.3x* +3xdx2. EvaluateVa + bx2(2a - bx) Va + bxА.2(2a – bx)Va + bxС.+C-C5b23b?2(bx – 2a) Va + bxВ.2(bx – 2a)

Note :As per our guidelines we are supposed to answer only one question if there are multiple…

Math

Calculus

PROBLEMS 1. Evaluate x'e * dx 2x x? + 3 C. 3 A. -C 9 +C D. *)-c 2x В. +C 3 9 3 3 xdx 2. Evaluate Va +bx 2(2a - bx)Va + bx A. 2(2a - bx)Va + bx C. + C 5b? 3b? 2(bx – 2a) Va +bx В. 2(bx – 2a)Va + bx 3b? + C D. -C 5b dx 3. Evaluate cos® 5x sinx 3sin( 2x) sin' x A. +C 24 5x С. 16 sinx 3sin(2x) sin' x 16 2 32 2 32 24 5x sinx 3sin(2x) sin' x В. -C 24 5x sinx 3sin(2x) sin' x D. 16 16 2 32 32 24 4. Evaluate tan“ x - sec tan' x tan' x, tan' x xdx tan' x tan x +C 3 С. -C A. 7 5 7 5 tan' x В. tan x tan' x +C 3 tan' x D. 7 tan x +C 7 dx 5. Evaluate (4x – x² )´2 х- 2 X-2 A. 4/4x- x C. 8/4x – x? +C +C X+2 X+2 В. 4/4x – x D. 8/4x - x? x2 - 3x –1 -dx x' + x - 2x 6. Evaluate A. In a(x + 2) .c C. Im Va (x-1 .c

PROBLEMS 1. Evaluate x'e * dx 2x x? + 3 C. 3 A. -C 9 +C D. *)-c 2x В. +C 3 9 3 3 xdx 2. Evaluate Va +bx 2(2a - bx)Va + bx A. 2(2a - bx)Va + bx C. + C 5b? 3b? 2(bx – 2a) Va +bx В. 2(bx – 2a)Va + bx 3b? + C D. -C 5b dx 3. Evaluate cos® 5x sinx 3sin( 2x) sin' x A. +C 24 5x С. 16 sinx 3sin(2x) sin' x 16 2 32 2 32 24 5x sinx 3sin(2x) sin' x В. -C 24 5x sinx 3sin(2x) sin' x D. 16 16 2 32 32 24 4. Evaluate tan“ x - sec tan' x tan' x, tan' x xdx tan' x tan x +C 3 С. -C A. 7 5 7 5 tan' x В. tan x tan' x +C 3 tan' x D. 7 tan x +C 7 dx 5. Evaluate (4x – x² )´2 х- 2 X-2 A. 4/4x- x C. 8/4x – x? +C +C X+2 X+2 В. 4/4x – x D. 8/4x - x? x2 - 3x –1 -dx x' + x - 2x 6. Evaluate A. In a(x + 2) .c C. Im Va (x-1 .c

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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Hi, I need some help solving this integral equations

PROBLEMS
Sx'e * dx
-3x
1. Evaluate
2х 2
x+
3
e x
e 3x
2x
x² +
3
2
-C
A.
-C
С.
3
3
2х 2
x* +
3
-e x
В.
2х 2
-e 3x
-C
D.
3
x* +
3
xdx
2. Evaluate
Va + bx
2(2a - bx) Va + bx
А.
2(2a – bx)Va + bx
С.
+C
-C
5b2
3b?
2(bx – 2a) Va + bx
В.
2(bx – 2a) Va + bx
D.
+C
5b?
3b?
3. Evaluate Jcos
dx
2
5x sinx 3 sin(2x) sin' x
А.
5x sinx 3sin(2x) sin' x
С.
+C
24
+
2
16
2
32
16
32
24
5x
В.
16
sinx 3sin(2x) sin' x
+C
5x sinx 3sin(2x) sin' x
D.
16
2
32
24
2
32
24
4. Evaluate tan' x - secʻ xdx
tan' x tan x tan' x
+C
3
tan' x tan x
С.
7
А.
7
5
tan' x tan x tan’ x
-C
tan' x tan x
-C
D.
7
В.
7
3
dx
5. Evaluate
4x -x?
x- 2
C
x- 2
А.
С.
8/4x – x?
-C
4/4x– x?
x+2
X+2
В.
4/4x – x
-C
D.
-C
8/4x – x
х? — Зх-1
-dx
+x? - 2x
6. Evaluate :
Vx(x+2)%
A. In
+C
Vx(x-
С. In
+C

-2x*
-dx
7. Evaluate
(1– x)*
8
8
А. х? + 6х -In(1-х)" +
-(1-x)* +c
1-x
С. х? + 6х + In(1-х)' +
-(1–x)² +c
1-x
8
(1–x) +C
8
В. х? + 6х -In(1-х)" +
D. x' + 6x + In(1–x)" +
-(1–x) +C
1-x
1-x
x' + x? + x+3
-dx
(x² +1)( x² +3)
8. Evaluate
A. In/x' +3 -
1
arctanx +C
C. In/x' +3 + arctanx +C
B. Invx? +3 +
1
arctan x + C
D. In/x' + 3 – arctanx +C
4x' + 2x² + 8
9. Evaluate
+4)
8
-C
x' +4
8
c. In(x' +4)} .
X
A. In(x +4)+ arctan
2
+ arctan+
x' +4
8
B. In(x? +4)- arctan-
D. In(x' +4) - arctan
2
2 x' +4
+4
dx
10. Evaluate
sinx – cosx –1
X
A. In tan
+C
2
-C
B. In tan +1+C
+1+C
3
D.
11. Find the area within the curves y = 25 – x², 256x = 3y², and 16y = 9x².
C. 36.27 units?
D. 32.67 units?
A. 37.26 units
B. 37.62 units?
sin20
12. Find the area bounded by the polar curve r =16| sin0 –
2
A. 16 sq. units
B. 8 sq. units
C. 4 sq. units
D. 2 sq. units
13. The region bounded by y = x', y = 0, and x =2 is revolved about the line x = 2 . it
solid of revolution generated using disk method.
A. 10.5031 units?
B. 10.0531 units?
C. 10.3501 units?
D. 10.3051 units?

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

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