Indefinite Integral: Power Formula

Determine the integral rule of the given expression:

• n*x^n-1 + C
• (n+1)*xⁿ⁺¹ + C
• ¹/_n-1 * x^n-1 + C
• ¹/_n+1 * xⁿ⁺¹ + C

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

Determine the integral rule of the given expression:

• x^-2 + C
• ^-2/_x³ + C
• ^-1/_x + C
• ²/_x + C

Determine the integral rule of the given expression:

• x^1/2 + C
• ¹/_(2√x) + C
• ³/₂*x^3/2 + C
• ²/₃*x^3/2 + C

Tags

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Determine the integral rule of the given expression:

• ^-1/_x² + C
• lnx + C
• ln|x| + C
• ^-1/_x + C

Tags

CCSS.HSA.APR.D.7

CCSS.HSF.BF.B.5

Determine the integral rule of the given expression:

• ½c² + C
• ln|c| + C
• cx + C
• ½cx² + C

What is an Antiderivative?

• The opposite of a derivative

• The same as a derivative

• A second derivative

• It always represents velocity

When do you add C when finding Antiderivatives?

• Never

• Sometimes

• Always

• Seldom

What does C represent in an Antiderivative?

• A variable

• Unknown

• A constant

• None of these

Find the Antiderivative of  $\frac{1}{3}x^3-5x$ .

•  $12x^4-5x^2+C$  

•  $\frac{1}{12}x^4-\frac{5}{2}x^2+C$  
  

•  $\frac{1}{12}x^3-5x^2+C$  

•  $\frac{1}{12}x^4-5x^2+C$  

 Integrate  $\int\left(-20x^3-6x^{-3}\right)dx$  

•  $-5x^4+\frac{3}{x^2}+C$  

•  $-20x^4-\frac{6}{x^2}+C$  

•  $-5x^3+\frac{3}{x^3}+C$  

•  $-20x^4+\frac{3}{2}+C$  

Tags

CCSS.HSA.APR.A.1