Name______________________________
ANTI-DERIVATIVE MATCH
Find the correct anti-derivative for each expression. There is a one-to-one match.
____1.
ex
 1 + e2 x dx
A. 2 ln 1 + x + C
____ 2.
e2 x
 1 + e2 x dx
B. − 2 1 − e x + C
ex
C. arcsin ( e x ) + C
____ 3.

____ 4.

____ 5.
x2
 1 + x 2 dx
E. arctan ( e x ) + C
____ 6.
ex
 1 + e x dx
F.
____ 7.

____ 8.

____ 9.

____10.
1− e
x
dx
1
dx
x (1 + x )
ex
1 − e2 x
e2 x
1− e
(
2x
D. x − arctan ( x ) + C
1
ln (1 + e 2 x ) + C
2
( x)+C
dx
G. 2 arctan
dx
H. e x − arctan ( e x ) + C
1
x 1+ x
e3 x
 1 + e2 x dx
)
dx
I. − 1 − e 2 x + C
J. ln (1 + e x ) + C