Calculus -- Chapter (5.1 - 5.2) -- Practice Test-3-30-2020

What does C represent in an antiderivative?

• A variable
• A constant
• None of these
• Unknown

Integration is the inverse of differentiation but it applications it can be used to....

• find the area under a curve

• calculate the force of an object

• Find the altitude of an objects perimeter

Tags

CCSS.HSG.GMD.A.1

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.A.2

CCSS.HSA.SSE.B.3

If f(x) is continuous on the closed interval [a,b] and k is a constant, then _a^b∫ kf(x) dx is equal to

• k(b-a)
• k[f(b) -f(a)]
• k _a^b∫ f(x) dx
• none of these

Find the antiderivative of
4x-7

• 4 +C
• 2x²-7x+C
• x²-7x + C
• 8x² + C
  

• -½x^-2 + C
• -⅖x^-5/2 + C
• 2x^1/2 + C
• -2x^-1/2 + C

Tags

CCSS.HSA.REI.A.2

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

Evaluate the indefinite Integral

• -5/x⁵ - 2/x³ + C
• -5/x³ - 2/x⁴ + C
• 5/x³ - 2/x⁴ + C
• -5/x³ - 2/x⁴ 

Tags

CCSS.7.EE.A.1

• a. 43

• b. 130/3

• c. 40

• d. 19/3

Find the area under a curve defined by the equation 5x⁴+3x+7 between the x values 0 and 4.

• 1200
• 1/12
• 1134
• 1076

Tags

CCSS.HSA.APR.A.1

Find F(0)

• e²

• 1 + e²

• (e²-1)/e²

• 4e⁴