test-3-take-home-maple.html

f := proc (x) options operator, arrow; (x-3)/((x-4)^2*(x-1)) end proc

proc (x) options operator, arrow; (x-3)/((x-4)^2*(x-1)) end proc

convert(f(x), parfrac)

1/3/(x-4)^2+2/9/(x-4)-2/9/(x-1)

int(1/3/(x-4)^2+2/9/(x-4)-2/9/(x-1), x)

-1/3/(x-4)+2/9*ln(x-4)-2/9*ln(x-1)

ApproximateInt(x^(1/2)*sin(x), 0 .. 4,

ApproximateInt(x^(1/2)*sin(x), 0 .. 4,

ApproximateInt(x^(1/2)*sin(x), 0 .. 4,

ApproximateInt(x^(1/2)*sin(x), 0 .. 4, partition = 8, method = trapezoid, partitiontype = normal, output = plot)

ApproximateInt(x^(1/2)*sin(x), 0 .. 4, partition = 8, method = trapezoid, partitiontype = normal, output = plot)

with(Student[Calculus1])

ApproximateInt(x^(1/2)*sin(x), 0 .. 4,

ApproximateInt(x^(1/2)*sin(x), 0 .. 4,

ApproximateInt(x^(1/2)*sin(x), 0 .. 4,

Plot

ApproximateInt(x^(1/2)*sin(x), 0 .. 4,

ApproximateInt(x^(1/2)*sin(x), 0 .. 4,

ApproximateInt(x^(1/2)*sin(x), 0 .. 4,

Plot

ApproximateInt(x^(1/2)*sin(x), 0 .. 4,

ApproximateInt(x^(1/2)*sin(x), 0 .. 4,

ApproximateInt(x^(1/2)*sin(x), 0 .. 4,

Plot

g := proc (x) options operator, arrow; x*sin(x) end proc

proc (x) options operator, arrow; x*sin(x) end proc

gp := D(g)

proc (x) options operator, arrow; sin(x)+x*cos(x) end proc

gpp := D(gp)

proc (x) options operator, arrow; 2*cos(x)-x*sin(x) end proc

gppp := D(gpp)

proc (x) options operator, arrow; -3*sin(x)-x*cos(x) end proc

gpppp := D(gppp)

proc (x) options operator, arrow; -4*cos(x)+x*sin(x) end proc