Evaluate the integral. (sec2(t) i t(t2 1)8 j t7 ln(t) k) dt

If you're just integrating a vector-valued function, you just integrate each component:

The first integral is trivial since .

The second can be done by substituting :

The third can be found by integrating by parts:

hello from mrbilldoesmath!

answer:

the domain is the set { -2, 0, 2, 3}

discussion:

the domain is the set of x values in the ordered pairs (x,y). taking the x, or first component, of each ordered pair gives   -2, 0, 2, 3.

you,

mrb