Question

use a calculator and inverse trigonometric ratios to find the unknown measures.

Answer 1

angle A
angle B
angle C
AB
BC
AC

Answer 2

(integral)ln(x) dx

set
u = ln(x), dv = dx
then we find
du = (1/x) dx, v = x

substitute

(integral) ln(x) dx = (integral) u dv

and use integration by parts

= uv - (integral) v du

substitute u=ln(x), v=x, and du=(1/x)dx

= ln(x) x - (integral) x (1/x) dx
= ln(x) x - (integral) dx
= ln(x) x - x + C
= x ln(x) - x + C.