5 Steps to a 5 AP Calculus BC 2019

308 STEP 4. Review the Knowledge You Need to Score High

∫

2

x^2 − 4 x

dx=

− 1

2

∫

dx

x

+

1

2

∫

dx

x− 4

=

− 1

2

ln|x|+

1

2

ln

∣∣

x− 4

∣∣

+C

=

1

2

ln

∣∣

∣∣x−^4

x

∣∣

∣∣+C.

33.

∫∞

e

dx

x

=klim→∞

∫k

e

dx

x

=klim→∞ln|x|

∣∣k

e

=klim→∞[ln|k|− 1 ]=∞