TRNG I HC BCH KHOA TPHCM

KHOA KHOC HC NG DNG

B MN TON NG DNG

*

N TP CUI HC K H

TPHCM

Ngy 23 thng 7 nm 2015

1

Cu 1) Kho st v v th hm s : y = xe1x2

Cu 2) Tnh th tch vt th to ra khi quay min D quanh trc Ox, vi D c gii hn

bi:

x =4 y2, x y 1, x = 0, y = 0

Cu 3) Tnh tch phn sau: I =+0

arctanx

x2dx

Cu 4) Tm gi tr tch phn hi t: I =+0

cosx+ x

(1 + x)(arctanx x)dxCu 5) Tm nghim cc phng trnh vi phn sau:

a)y =1

x(2y + xex 2ex), tha y(1) = 2

b)(2x+ exy )dx+ (1 x

y)e

xy dy = 0

c) y(1 + x2) + y = arctanx, tha y(0) = 1

Cu 6) Gii h phng trnh vi phn: x(t) = x 4y + ty(t) = x 3y + et 2

Cu 1) Kho st v v th hm s : y =x

3(x 2)2

Cu 2) Tnh th tch vt th to ra khai quay min D quanh trc Oy, vi D c gii hn

bi:

y =3x2, y =

4 x2

Cu 3) Tnh tch phn sau: I =+1

dx

(1 ex)xCu 4) Tm gi tr tp sau hi t: I =

+1

lnx arctan (x 1)(xx) dx.

Cu 5) Tm nghim cc phng trnh vi phn sau y:

a) ydx (x+ y2 sin y)dy = 0b)(

y

x2 + y2 y)dx+ (ey x x

x2 + y2)dy = 0

Cu 6) Gii h phng trnh vi phn sau: x(t) = 5x 3y + tety(t) = 3x y + 4

2