Antiderivatives

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

• (1/8)x^-8 + C

• (-1/8)x^-8 + C

• (1/10)x^-10+C

• (-1/10)x^-10+C

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

• cos(x)

• -cos(x)

• -cos(x)+C

• cos(x)+C

Find the general antiderivative of

x²

• (1/3)x³+C

• 3x³+C

• (1/3)x³

• 2x

Find the antiderivative of

4x-7

• 4

• 2x²-7x+C

• (1/2)x²-7x+C

• 8x²

What is an antiderivative?

• The opposite of a derivative
• The same as a derivative
• A second derivative
• It always represents velocity.

What does C represent in an antiderivative?

• A variable
• A constant
• None of these
• Unknown

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

Find the antiderivative of 6e^x

• 6(1/x+1)e^x+1+C

• e^x+C

• 6e^x+6+C

• 6e^x+C

Find the antiderivative of (3/x)

• 3x⁰+C

• 3+C

• 3lnx+C

• (3/x²)+C

Find the general antiderivative of x²(x+6)

• (1/4)x⁴+2x³+C

• (x²/2)(x³/3+6x)+C

• 3x²+12x+C

• x⁴+6x³+C