find cke endefinite integral using entagrstion by parts with gle given choices of de far Oe constant of entegration) and av (use x"dn C) ox ;u=ln (s), dv =x'dx

Let z = 6e*³y} dz find Əx %3D

2.) 2Yt ly-l dy

y for y= Lnce)

2) Jxy + xy = 7, y" %3D

Match column A with column B Evaluate the following: So? Sx/x+1 x dy dx 4/3 So' Sx'X x dy dx Choose. + Choose. So' SiY Sivoon vxey) xyz dz dx dy So' Six2 Sž* xyz dy dz dx 1.765 4/3 x2- 2 is the exponent of x - 7/30 7/30 4/160 3/160 - 1.765 - 4/3

ху • prove that x +y Example If z = az dz +y. ay х. dx

dy Differentiate implicitly to find dx exy 2x+9y+3

So SiaVI+ y³ dydx =?

Consider R4 with coordinates t, x, y, z. Let a = xdt dx + xdy dz. Calculate a ^ a.