Anitderivatives Power Rule

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

∫(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

∫ - sinx dx

• -cos x + C
• cos x + C
• tan x + C
• 1/√1- x²

∫ x(x² - 4) dx

• x²/2(x³/3 - 4x) + C

• 1/4x⁴ -2x² + C

• 3x²- 4 + C

• x⁴ - 4x² + C

• -5/x⁵ - 2/x³ + C

• -5/x³ - 2/x⁴ + C

• 5/x³ - 2/x⁴ + C

• -5/x³ - 2/x⁴

• -½x^-2 + C

• -⅖x^-5/2 + C

• 2x^1/2 + C

• -2x^-1/2 + C

• -500 ⁄ 3

• 20 ⁄ 3

• 500 ⁄ 3

• -20 ⁄ 3

Find the antiderivative of

4x-7

• 4

• 2x²-7x+C

• (1/2)x²-7x+C

• 8x²

Find the antiderivative of

(1/3)x³-5x

• (1/12)x⁴-(5/2)x²+C

• (1/4)x⁴-(1/2)x²+C

• (1/3)x⁴-(5/2)x²+C

• (2/3)x²-5+C