Question

尼

51題，解答九分之一那邊，為何是cot3x的三次方而不是一次方，為何是九分之一不是三分之一？

Finding an Indefinite Integral In Exercises 49–58, find
the indefinite integral. Use a computer algebra system to
confirm your result.
49.
cot 2x dx
50.
tan
Soor
foset
X
X
sec4
4
4
dx
51. csc4 3x dx
52.
cores
X
X
cot?
csc4 – dx
2 2

.
51. S csc* 3x dx = , csc? 3x(1 + cot? 3x) dx
= csc 3x dx + ſ cot? 3x csc 3x dx
?
- cot 3x - - c
cot 3x + c
3