Slopefields & U-Substitution

What should "du" equal in this integral?

• tanxsecx dx
• secx dx
• sec²x dx
• tanx dx

Tags

CCSS.HSA.APR.D.6

∫ 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

∫ 2x cos(x²) dx

• sin(x²) + C

• 2 sin ( 2x ) + C

• (1/2) sin(x²) + C

• 4 cos(2x ) + C

∫5 e^5x dx

• 25 e^5x + C 
• 5 e^{5x - 1} + C 
• e^5x +  C 
• (1/5) e^5x + C 

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

What should "u" equal in this integral?

• x
• (lnx)/x
• lnx
• sin(lnx)

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

• 1/3
• 8/3
• 16/3
• 24/3

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Which choice below represents this slope field?

• dy/dx = 2x

• dy/dx = -x

• dy/dx = x

• dy/dx = x²

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Which differential equation is represented by the slope field?

• dy/dx = -y

• dy/dx = 1

• dy/dx = -1

• dy/dx = -x

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

Differential equation for the slope field is?

• dy/dx = -x

• dy/dx = x²

• dy/dx = x/y

• dy/dx = y/x

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

Which function would make this slope field?

• y = 8

• y = x

• y = x²

• y = 2x

Tags

CCSS.8.EE.C.8B