Y12 #4 INTEGRALS 1 post class assignment

What is an Antiderivative and why does it require a constant term?

• It is the derivative of a function and requires a constant for uniqueness.

• It is the integral of a function and it is required because the derivative of a constant is always zero

• It is the limit of a function and requires a constant for continuity.

• It is the sum of a function and requires a constant for accuracy.

• -4cos(x) + C

• 4cos(x) + C

• -4sin(x) + C

• 4sin(x) + C

• 2

• x+C

• 2+C

• 1

• 3ln|x| + C

• ln|x| + C

• 3x + C

• x³ + C

• 144

• 72

• 216

• 108

• ln(2)

• ln(1)

• ln(3)

• ln(4)

• 0

• 2

• π

• -π