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
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
Hi, I need some help solving this integral equations
Transcribed Image Text: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
Transcribed Image Text:-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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