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1
Handbook of Mathematical Formulas and Integrals
7.1 BASIC RESULTS 7.1.1 Integrands Involving sinh(a + bx) and cosh(a + bx) 7.1
.1.1 1. _ 1 s1nh(a + bx) dx : E c0sh(a + bx) 1 c0sh(a + bx) dx : 5 sinh(a + bx) tanh(
a + bx) dx : sech(a + bx) dx : csch(a + bx) dx : sinh(a + bx) c0sh(a + bx) b 1 dx:— ...
Alan Jeffrey, Hui Hui Dai, 2008
2
GPU Solutions to Multi-scale Problems in Science and Engineering
sl[0][bx] — qdx*qxl [O][bx] + dtx*(ql [l][bX] + qdt*qtl [1][bx]); sl[l][bx] — qdx*qxl [l][bx]
+ dtx*(f21x*(ql [0] [bx] + qdt*qtl[0][bx])+f22x*(ql[l][bx] + qdt*qt1[1][bx]) + al"(ql[21[b>
<l + qdt*qt1[211bX1)+f24X*(q1[3l[bX] + qdt*qtll3llbXl)); sl[2][bx] — qdx*qxl ...
David A. Yuen, Long Wang, Xuebin Chi, 2013
3
Topics in Integral Calculus
_ Reduction formulae for I eax sinn bx dx and I eax cosn bx dx **66. Reduction
formula for I e“x sinn bx dx. To prove that J- eax sinn bx dx - __ _ 2 = a sm bx nb
cos bx e“ sinrl bx + n(n 1)b ax ' n—2 a2 +n2b2 a2 +n2 b2 .[8 Sm bxdx Ie'“ sin" bx
dx ...
4
Artificial Intelligence Planning Systems: Proceedings of the ...
... ;{6) (pushable <bx» ;{6} (nextto robot <bx» ;{!} (inroom <bx> <rx» ;{5} (inroom <
by> <rx» ;{5} (inroom robot <rx»)) ;{5) (effects ((del (at robot <locl> <loc2» ) (del (
nextto robot <objl>)) (del (at <bx> <loc3> <loc4») (del (nextto <bx> <obj2») (del ...
5
Encyclopaedia Britannica: Supplement to the 4th, 5th, and ...
36/c x*Ax _x 1 Pdx \a+bx*)*~~ 2b(a+bxs) + 2bJ a+bx* (a+6i2)* TM' J (a+bx*)3 ~ \
8aa + 8a J (a+bx*)* + 8a* J a+bx* /* gdx _ 1 V (a+6*2)3 ~ _ 46(a + 6x*)2 r*tx /*? x\
1 J (a+bx*)3 ~ V 8a ~ 86 ) (a+bx*)* + 1 /°dx 8abJ a + bx* P x*Ax _/ *» a \ 1_ J ...
6
CRC Standard Mathematical Tables and Formulae, 32nd Edition
n=1, n=2. 29. dx(a+bx)3 =− 1 2b(a+bx)2 . 30. ∫ x a+bx dx = 1b2[a
+bx−alog(a+bx)], or x b − a b2log(a+bx). 31. ∫ x (a+bx)2 dx = 1 b2 [ log (a+bx)+ a
a+bx ] . 32. ∫ x(a+bx)n dx = 1 b2 [ −1(n−2)(a+bx)n−2 + a (n−1)(a+bx)n−1 ] , 28.
7
Applied Mathematics-I (AU,UP)
—2 e“ sm"'1 bx cos bx + a a 2 if I {(n - 1) Sm"-2 bx - (n - 1) sin“ bx - sin" bx} e" dx (1
ax ' n e sin bx nb . = —— — —2 ea' sm"'1 bx cos bx + a a 2 9L JKn - 1) sin"_2 bx -
n sin" bx} e“ dx a2 0:: - n 2 = ——e Sm bx — n—g e'" si1'1"'1 bx cos bx + ...
Dr Shyamal Kr Banerjee, Manish Goyal, N P Bali, 2008
8
Mathematics for Engineers and Scientists, 5th Edition
Algebraic forms 15. 16. 17. 18. 1,1 x „ —, * dx = - arctan - + C x + a a a 1 A l 1 dx =
— In 2a x2-a2 x — a x + a + C, a2 < x 2^ v2 (a + bx)"dx = (a + bx)n + b(n+l) □ + C,
n # - 1 r-dx = rln|a + bx| + C a4-bx ft 19. x(a + bx)"dx = (a 4- bx)" a + bx a n + 2 n ...
9
Student's Hebrew Lexicon: A Compendious and Complete Hebrew ...
always in the tone of entreaty, not of command or of direct denial ; ft) not before a
verb, but denying a sentence or thought understood, e. g. X3"bx Gen. 19, 18 no, I
pray! i. e. let it not be so (cf. u.t) for u.T) touto -/£v7jTai); ini33~bx nay! my ...
10
Table of Integrals, Series, and Products
(a + bx)3lnxdx = 1 4b [ (a + bx)4 − a4 ] lnx − ( a3x + 3 4a2bx2 + 1 3ab2x3 +
116b3x4 ) 2.727 1.8 ∫ lnxdx (a + bx) m = 1 b(m − 1) [ − lnx (a + bx) m−1 + ∫ dx x
(a + bx) m−1 ] TI 376 For m = 1 2.8 ∫ lnx dx a+ bx = 1 b lnxln(a+ bx) − 1b ∫ ln(a
+ ...
Alan Jeffrey, Daniel Zwillinger, 2000
WIADOMOŚCI, KTÓRE ZAWIERAJĄ SŁOWO «BX»
Sprawdź, o czym dyskutuje się w prasie krajowej i zagranicznej oraz jak jest stosowane słowo
bx w wiadomościach.
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