Integrate V4r - 8~ dx using a table of integrals 2. Chrome-Microsoft Word- Integral Formulas IIl.docx ロ A $3.amazonaws.com/myopenmath/ufiles/1787/Integral_Formulas_II_1.pdf 1 /2 * & ら : 1. [x' dx = +C, nォ-1 n+1

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Integrate
4x-8~
da using a table of integrals
Chrome- Microsoft Word - Integral Formulas II.docx
A s3.amazonaws.com/myopenmath/ufiles/1787/Integral_Formulas_II_1.pdf
1 / 2
1.
Jx dx =+c, na-1
n+1"
2,
Seʻax = e* + c
3.
4.
xe" dx =
e“(ax-1) + c
6.
(Inxdx = xin x- x+c, x>0
7.
[x'Inxdx= x Inx
+c, nz-1, x>0
x+1 (n+1)
8.
dx =
+x² + a°+C
9.
1
dx = In x+ Vx -
10,
1x-a
dx =
2a x+a
+C
11.
a+x
+c
2a a-x
dx%3D
12.
5.
II
Transcribed Image Text:Integrate 4x-8~ da using a table of integrals Chrome- Microsoft Word - Integral Formulas II.docx A s3.amazonaws.com/myopenmath/ufiles/1787/Integral_Formulas_II_1.pdf 1 / 2 1. Jx dx =+c, na-1 n+1" 2, Seʻax = e* + c 3. 4. xe" dx = e“(ax-1) + c 6. (Inxdx = xin x- x+c, x>0 7. [x'Inxdx= x Inx +c, nz-1, x>0 x+1 (n+1) 8. dx = +x² + a°+C 9. 1 dx = In x+ Vx - 10, 1x-a dx = 2a x+a +C 11. a+x +c 2a a-x dx%3D 12. 5. II
12.
1, Ja+va +x*
+C
xVa +x
a
13,
1la+Va' - x
+C
dx-
xVa-x
a
14.
X a
Inla+bx+c
a+ bx
15.
a
dx =
b'(a+ bx) b
+1
-C
(a+bx)
16.
dx =n x
+C
1
x(a+ bx)
a a+bx
17.
1
1
X(a+ bx)dx=
18.
-In
a(a+bx)
a
a+ bx
Suř +a* dx =xvx? +a° +a° In\x+•
11
+a
19.
dx =
20.
(xva+ bx dx =
156 (3bx - 2a)(a+ bx) + c
21,
2
(bx - 2a)va+ bx+c
xdx
Va+ bx 3b
x* dx
Va+ bx 156 (36 x - 4abx +8a*)Va+bx +c
22,
23
1
(x+a)
=xp-
X+a
24,
a+x
dx
(x+a)(x+b)"
b-a""b+y+C, ab
25.
Inax
dx=
-C
26,
dx =-Va-x+c
Va
27.
SJax +b dx=
2b
Vax+b+c
3
2x
За
28.
x'e" dx =
X'e*"
--4x'e" dx +c
Transcribed Image Text:12. 1, Ja+va +x* +C xVa +x a 13, 1la+Va' - x +C dx- xVa-x a 14. X a Inla+bx+c a+ bx 15. a dx = b'(a+ bx) b +1 -C (a+bx) 16. dx =n x +C 1 x(a+ bx) a a+bx 17. 1 1 X(a+ bx)dx= 18. -In a(a+bx) a a+ bx Suř +a* dx =xvx? +a° +a° In\x+• 11 +a 19. dx = 20. (xva+ bx dx = 156 (3bx - 2a)(a+ bx) + c 21, 2 (bx - 2a)va+ bx+c xdx Va+ bx 3b x* dx Va+ bx 156 (36 x - 4abx +8a*)Va+bx +c 22, 23 1 (x+a) =xp- X+a 24, a+x dx (x+a)(x+b)" b-a""b+y+C, ab 25. Inax dx= -C 26, dx =-Va-x+c Va 27. SJax +b dx= 2b Vax+b+c 3 2x За 28. x'e" dx = X'e*" --4x'e" dx +c
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