Antiderivatives

∫(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

∫ 1/x dx

• ln x
• ln |x| + C
• -1/x²
• -1/x² + 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
• .25x⁴ -2x² + C
• 3x²- 4 + C
• x⁴ - 4x² + C

f'(x) = (x + 2)/(3x). f(x) =

• (2/3)ln|x| + x/3 + C
• 2ln|3x| + x/3 + C
• (2/3)ln|x| + C
• (2/3)ln|3x| + C

Given v(t) = -sin(2x), determine the general for the antiderivative.

• cos(2x)
• 2cos(2x)
• -cos(2x)
• 1/2cos(2x)

Find the antiderivative of
(1/3)x³-5x

• (1/12)x⁴-(5/2)x²+C
• (1/4)x⁴-(1/2)x²+C
• (1/12)x³-(5)x²+C
• (12)x⁴-(5)x²+C

• A
• B
• C
• D

Determine the integral rule of the given expression:

• cosx + c
• -cosx + c
• ½sin²x + C
• ¹/_√(1-x²) + C