Antiderivatives Quiz

What is the antiderivative of 3x^2 + 2x + 1?

• x^3 + x^2 + x

• x^3 + 2x^2 + x

• 3x^2 + 2x + 1

• 2x^3 + x^2 + x

What is the antiderivative of 1/x?

• ln|x| + C

• x^2 + C

• e^x + C

• 1/x^2 + C

What is the antiderivative of 1/x^3?

• -1/(2x^2)

• -1/(4x^2)

• -1/(x^2)

• -1/(3x^2)

What is the antiderivative of sqrt(x)?

• (1/3) * x^(3/2) + C

• (2/3) * x^(3/2) + C

• (1/2) * x^(1/2) + C

• (3/2) * x^(1/2) + C

What is the antiderivative of cube root of x?

• (3/4) * x^(3/4)

• (1/3) * x^(1/3)

• 3/4 * x^(4/3)

• (4/3) * x^(1/4)

What is the antiderivative of 5e^x?

• e^(5x)

• 5e^x

• e^x - 5

• 5e^x + C

Evaluate the integral of 4x^3 + 2x^2 + 3x + 1 with respect to x.

• (1/4)x^4 + (2/3)x^3 + (3/2)x^2 + x

• (1/4)x^4 + (2/3)x^3 + (3/2)x^2 + x - C

• (1/4)x^4 + (2/3)x^3 + (3/2)x^2 + x + C

• (1/4)x^4 + (2/3)x^3 + (3/2)x^2 + x + 1

Evaluate the integral of 5 with respect to t.

• 5x+C

• 5x

• 5t+C

• 5t

Find f(x) if f'(x)=2e^x and f(0)=4

• 2e^x + 4

• 2e^x + 2

• 2 e^x - 4

• 4 e^x - 2

Tags

CCSS.HSF-IF.C.8B