Anti Derivative

∫(4 - 18x)dx

• F(x) = -18
• F(x) = 4x - 9x²
• F(x) = 4x - 9x² + C
• F(x) = (4 - 18x)² /2 + C

∫ t⁶ dt

• 6t⁵
• 6t⁵ + C
• 1/7 t⁷ + C
• t⁷ + C

Tags

CCSS.HSA.APR.A.1

∫ 4 dx

• 0
• 4t + C
• 4x + C
• 2x² + C

Tags

CCSS.HSF.IF.A.2

∫ x(x² - 4) dx

• x²/2(x³/3 - 4x) + C
• .25x⁴ -2x² + C
• 3x²- 4 + C
• x⁴ - 4x² + C

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

Given v(t) = x^-9, find the general equation for the antiderivative.

• (1/8)x^-8 + C
• (-1/8)x^-8 + C
• (1/10)x¹⁰
• (-1/8)x^-8

∫ x(x² - 4) dx

• x²/2(x³/3 - 4x) + C
• .25x⁴ -2x² + C
• 3x²- 4 + C
• x⁴ - 4x² + C

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

Find the particular solution: f'(x) = 6x, f(-3) = 20

• 3x - 7

• 3x² - 7

• 3x² + 7

• 2x² + 2

• -(24/4)x⁴+C
• -4x⁶+C
• -4x⁵+C
• -24x⁶+C

Tags

CCSS.HSA.APR.A.1

• -3x+C
• 0
• -3x
• -1/3x+C

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.1

• 4x³+C
• 12x³+C
• 4x²+C
• 7

Tags

CCSS.HSA.APR.A.1