Integrals Table
x n 1
(1) x dx
n
c , n 1
n 1
1
(2) dx ln x c
x
(3) k dx kx c , k constant
ax
(4) a x dx c
ln a
1
(5) e ax dx e ax c
a
1
(6) sin ax dx cos ax c
a
1
(7) cos ax dx sin ax c
a
1
(8) tan ax dx ln (sec ax ) c
a
1
(9) cot ax dx ln (sin ax ) c
a
1
(10) sec ax tan ax dx sec ax c
a
1
(11) csc ax cot ax dx csc ax c
a
1
(12) sec2 ax dx tan ax c
a
1
(13) csc2 ax dx cot ax c
a
1
x n 1
(1) x dx
n
c , n 1
n 1
1
(2) dx ln x c
x
(3) k dx kx c , k constant
ax
(4) a x dx c
ln a
1
(5) e ax dx e ax c
a
1
(6) sin ax dx cos ax c
a
1
(7) cos ax dx sin ax c
a
1
(8) tan ax dx ln (sec ax ) c
a
1
(9) cot ax dx ln (sin ax ) c
a
1
(10) sec ax tan ax dx sec ax c
a
1
(11) csc ax cot ax dx csc ax c
a
1
(12) sec2 ax dx tan ax c
a
1
(13) csc2 ax dx cot ax c
a
1
