Antidifferentiation Practice

Find F(x) if f '(x) = 2x⁵

• 10x⁴ + c

• 5x⁶ + c

• ⅓ x⁶ + c

• 10x⁶+ c

Find F(x) if f '(x) = 3x⁴

• 12x³ + c

• (3/5) x⁵ + c

• 12x⁵ + c

• 15x⁵ + c

Find F(x) if f '(x) = 3x^0.5

• 1.5x^-0.5 +c

• ½ x^1.5 +c

• 6x^1.5 + c

• 2x^1.5 + c

What does "+C" represent in the equation for the antiderivative of a function f'(x)?

• An unknown constant

• The axis of symmetry

• The coefficient

• A trig value

There are a finite number of antiderivatives for any f'(x).

• True

• False, infinite

 If f '(x) = (x+2)(x- 3) then f(x)=

• x² - x - 6
• x³  - x² - 6x+c
• 3x³  - 2x² - 6x+c
• ⅓x³  - ½x² -6x +c

Tags

CCSS.HSA.APR.A.1

 If f '(x) = x^-2  -  x^-3 + 5x^-6 then f(x)=

• -x^-1 + ½x^-2 - x^-5 +c
• -x^-3 + ¼x^-4 - x^-7 +c
• -⅓x^-3 + ¼x^-4 - 1/7x^-7 +c
• -2x^-1+3x^-2 -30x^-5 +c

What is the derivative of a constant with respect to x?

• 1

• 0

• Infinite

• Does not exist

Evaluate the indefinite integral.

• A

• B

• C

• D

Tags

CCSS.HSA.APR.A.1

Evaluate the indefinite integral.

• A

• B

• C

• D

Tags

CCSS.HSA.APR.A.1