Question

http://www.webassign.net/cgi-bin/symimage.cgi?expr=int%20%5C%28%20%28text%28csc%29%28t%29%29%5E2%20%20-%203%20e%2A%2At%5C%29%20dt please help with this

Answer 1

Straight forward; integrate each term individually. If you don't know integral of csc^2 t, just look at derivative tables; what gives you csc^2 t?

Answer 2

-2cot(t)csc^2(t)

Answer 3

is that it? then what do i do next?

Answer 4

Integrate each term separately.\[\int\limits_{}^{}\csc ^{2}t -\int\limits_{}^{}3e ^{t}\]It is not complicated, nothing to think about
\[=-\cot t -3e ^{t}\]