Chapter 5 Section 2
 Prerequisites for Calculus

General Antiderivative Formula:

xn

xn+1 + C or Ax Axn+1 +C
n+1 n+1

 

sinkx

-coskx + C
k

coskx

sinkx + C
k

Examples: Find y.

1. y '' = 4x 4x2 = 2x2 +C 2. y '' = 6x+ 3x2 6x2 + 3x3 = 3x2 + x3+C
2 2 3
3. y'' = sin4x -cos4x = -?cos4x+C 4. y''= 3cos1/8x 3 sin1/8x = 24sin1/8x+C
4

1/8