Directions: Find the integral. Show all work.
\int 3x^(2)sin(x)dx
\int sin^(2)xcos^(2)xdx
\int (\sqrt(25-x^(2)))/(x)dx\int (x^(2))/(x^(3)-x^(2) 4x-4)dx
Find the volume of the solid generated by revolving the region in the first quadrant bounded by
y=e^(2x)
and
x
-axis, from
x=0
to
x=ln9
, about the line
x=-1
. Express the answer in exact form.Directions: Find the integral. Show all work.
\int 3x^(2)sin(x)dx
\int sin^(2)xcos^(2)xdx
\int (\sqrt(25-x^(2)))/(x)dx