Integration with and without substitution

∫ 6 x (x² +1 )² dx

• ( x² + 1)³ + C
• 3 ( x² + 1)³ + C
• ( x² + 1)¹ + C
• 6 ( x² + 1)³ + C

Tags

CCSS.HSA.APR.A.1

∫ 2 x (x²- 3)^(1/2) dx

• (x²- 3)^(3/2)+C
• (3/2)(x²- 3)^(3/2)+C
• (2/3)(x²- 3)^(3/2)+C
• (2/3)(x²- 3)^(-1/2)+C

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

∫ x (x² + 7 )^(1/3) dx 

• (3/4) ( x²+ 7 )^(4/3) + C
• (3/8) ( x²+ 7 )^(4/3) + C 
•  ( x²+ 7 )^(4/3) + C 
• (3/2) ( x²+ 7 )^(4/3) + C 

Tags

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.1

CCSS.HSN.RN.A.2

∫ g ' ( x ) f (u) dx,    u = g ( x )

• ∫ f ( u ) du
• g ( x ) + C 
• ( 1/ g ( x ) ) g ( x)⁴ + C 
• cannot be determined

∫_₀^²(3x² - 2x)dx ?

• 8

• 4

• -8

• -4

Tags

CCSS.HSA.APR.A.1

• ⅝
• -⅝
• ⅜
• 45/16

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

• A

• B

• C

• D

Tags

CCSS.HSA.SSE.A.1

• A

• B

• C

• D

Tags

CCSS.HSA.APR.A.1