Integration

∫¹₀(6x)/(3x²+1)²dx   u=3x²+1    [0,1]

• ¾
• ⅗
• 5/4
• -¼

Tags

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

∫⁰⁻₃ (4x)/(2x²+3)²dx      [-3,0]

• -1/16
• -5/3
• -7/3
• 2/7

Tags

CCSS.HSA.APR.D.6

∫(3x⁴+2)⁴(12x³)dx

• ½(3x⁴+2)⁴+C
• (3x⁴+2)⁴+C
• ⅕(3x⁴+2)⁵+C
• ⅓(3x⁴+2)⁶+C

Tags

CCSS.HSA.APR.A.1

∫(4e^(4x) (e^(4x)-3)⁴ dx

• ⅕(e^(4x)-3)⁵+C
• ⅔(e^(4x)-3)⁶+C
• 5/4(e^(4x)-3)⁴+C
• (e^(4x)-3)⁴+C

Tags

CCSS.HSA.SSE.A.2

∫ 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.APR.A.1

CCSS.HSA.SSE.B.3

CCSS.HSN.RN.A.2

∫ 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

∫ 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

∫ (2 - x)⁵ dx

• -5 (2 - x )⁴ + C

• ( 2 - x )⁶ + C

• (1/6) ( 2 - x )⁶ + C

• -(1/6) ( 2 - x )⁶ + C

Tags

CCSS.HSA.APR.A.1

Find the integral:

• 1/3(x⁴ + 3)³ + c

• 1/12(x⁴ + 3)³ + c

• 3/4(x⁴ + 3)³ + c

• 1/4(x⁴ + 3)³ + c

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Find the integral:

• 1/8(4x² + 3)⁴ + c

• 1/2(4x² + 3)⁴ + c

• 1/32(4x² + 3)⁴ + c

• 1/4(4x² + 3)⁴ + c

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2