Calculus Review - Integrals

∫cos(4x+5)dx

• -¼sin(4x + 5) + C

• 4sin(4x + 5) + C

• ¼sin(4x + 5) + C

• 4cos(4x + 5) + C

^∫2x+4dx

• x² + 4x + c

• 2

• x² + 4x

• 2x² + 4x + c

Tags

CCSS.HSA.APR.A.1

• 62

• 64/11

• 56/3

• 50/3

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.1

Evaluate the indefinite integral.

• A

• B

• C

• D

Tags

CCSS.HSF.IF.A.2

• (x¹¹ ⁄ 11) - 1
• (x¹⁰) - 1
• x¹⁰
• t¹¹ ∕ 11

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

How do you get from the first derivative the the original function?

• Differentiate
• Integrate

How do you integrate uⁿ du ?

• Increase the exponent and multiply by n
• Increase the exponent and divide by n
• decrease the exponent and divide by n+1
• Increase the exponent and divide by n+1

What can be calculated using this expression?

• Intermediate Value of F

• Instantaneous Rate of Change

• Average Rate of Change

• Average Value of f

Tags

CCSS.HSF.IF.B.6

Evaluate: ∫sec²(x) dx

• sec(x) + C u²
• tan(x) + C u²
•  ⅓sec³(x) + C u²
• ½tan²(x) + C u²

Find the area of the region enclosed by the lines and curves.

y = 3x + 4 and y = x² + 4

• 9

• 93/2

• 9/2

• 18

Tags

CCSS.HSA.REI.C.7

CCSS.HSA.REI.D.11